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Finding the Fourth Proportional to 123,127.76, 169,904.04 and 75,394.64

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Solution

The fourth proportional to 123,127.76, 169,904.04 and 75,394.64 is: 104,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,127.76 : 169,904.04 = 75,394.64 : x
  2. Step 2: Convert to fraction form
    123,127.76/169,904.04 = 75,394.64/x
  3. Step 3: Cross multiply
    123,127.76x = 169,904.04 × 75,394.64
  4. Step 4: Simplify right side
    123,127.76x = 12,809,853,930.35
  5. Step 5: Solve for x
    x = 12,809,853,930.35/123,127.76
  6. Step 6: Final answer
    x = 104,037.09

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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.