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Finding the Fourth Proportional to 123,107.84, 169,886.42 and 69,391.82

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Solution

The fourth proportional to 123,107.84, 169,886.42 and 69,391.82 is: 95,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,107.84 : 169,886.42 = 69,391.82 : x
  2. Step 2: Convert to fraction form
    123,107.84/169,886.42 = 69,391.82/x
  3. Step 3: Cross multiply
    123,107.84x = 169,886.42 × 69,391.82
  4. Step 4: Simplify right side
    123,107.84x = 11,788,727,877.08
  5. Step 5: Solve for x
    x = 11,788,727,877.08/123,107.84
  6. Step 6: Final answer
    x = 95,759.36

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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.