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Finding the Fourth Proportional to 206,792,038.80, 309,762,905.40 and 142,168,813.20

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Solution

The fourth proportional to 206,792,038.80, 309,762,905.40 and 142,168,813.20 is: 212,960,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,792,038.80 : 309,762,905.40 = 142,168,813.20 : x
  2. Step 2: Convert to fraction form
    206,792,038.80/309,762,905.40 = 142,168,813.20/x
  3. Step 3: Cross multiply
    206,792,038.80x = 309,762,905.40 × 142,168,813.20
  4. Step 4: Simplify right side
    206,792,038.80x = 44,038,624,634,101,864
  5. Step 5: Solve for x
    x = 44,038,624,634,101,864/206,792,038.80
  6. Step 6: Final answer
    x = 212,960,928.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.