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Finding the Fourth Proportional to 206,030.36, 308,981.96 and 72,880.00

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Solution

The fourth proportional to 206,030.36, 308,981.96 and 72,880.00 is: 109,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,030.36 : 308,981.96 = 72,880.00 : x
  2. Step 2: Convert to fraction form
    206,030.36/308,981.96 = 72,880.00/x
  3. Step 3: Cross multiply
    206,030.36x = 308,981.96 × 72,880.00
  4. Step 4: Simplify right side
    206,030.36x = 22,518,603,335.49
  5. Step 5: Solve for x
    x = 22,518,603,335.49/206,030.36
  6. Step 6: Final answer
    x = 109,297.50

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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.