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Finding the Fourth Proportional to 206,792.80, 310,246.80 and 101,615.20

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Solution

The fourth proportional to 206,792.80, 310,246.80 and 101,615.20 is: 152,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,792.80 : 310,246.80 = 101,615.20 : x
  2. Step 2: Convert to fraction form
    206,792.80/310,246.80 = 101,615.20/x
  3. Step 3: Cross multiply
    206,792.80x = 310,246.80 × 101,615.20
  4. Step 4: Simplify right side
    206,792.80x = 31,525,790,631.36
  5. Step 5: Solve for x
    x = 31,525,790,631.36/206,792.80
  6. Step 6: Final answer
    x = 152,451.10

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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.