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Finding the Fourth Proportional to 123,041.52, 169,793.28 and 77,744.16

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Solution

The fourth proportional to 123,041.52, 169,793.28 and 77,744.16 is: 107,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,041.52 : 169,793.28 = 77,744.16 : x
  2. Step 2: Convert to fraction form
    123,041.52/169,793.28 = 77,744.16/x
  3. Step 3: Cross multiply
    123,041.52x = 169,793.28 × 77,744.16
  4. Step 4: Simplify right side
    123,041.52x = 13,200,435,927.24
  5. Step 5: Solve for x
    x = 13,200,435,927.24/123,041.52
  6. Step 6: Final answer
    x = 107,284.40

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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.