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Finding the Fourth Proportional to 123,077.70, 169,762.92 and 75,354.66

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Solution

The fourth proportional to 123,077.70, 169,762.92 and 75,354.66 is: 103,937.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,077.70 : 169,762.92 = 75,354.66 : x
  2. Step 2: Convert to fraction form
    123,077.70/169,762.92 = 75,354.66/x
  3. Step 3: Cross multiply
    123,077.70x = 169,762.92 × 75,354.66
  4. Step 4: Simplify right side
    123,077.70x = 12,792,427,117.21
  5. Step 5: Solve for x
    x = 12,792,427,117.21/123,077.70
  6. Step 6: Final answer
    x = 103,937.81

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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.