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Finding the Fourth Proportional to 123,007.90, 169,672.16 and 77,605.78

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Solution

The fourth proportional to 123,007.90, 169,672.16 and 77,605.78 is: 107,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,007.90 : 169,672.16 = 77,605.78 : x
  2. Step 2: Convert to fraction form
    123,007.90/169,672.16 = 77,605.78/x
  3. Step 3: Cross multiply
    123,007.90x = 169,672.16 × 77,605.78
  4. Step 4: Simplify right side
    123,007.90x = 13,167,540,321.08
  5. Step 5: Solve for x
    x = 13,167,540,321.08/123,007.90
  6. Step 6: Final answer
    x = 107,046.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.