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Finding the Fourth Proportional to 123,987.31, 171,106.02 and 75,592.04

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Solution

The fourth proportional to 123,987.31, 171,106.02 and 75,592.04 is: 104,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,987.31 : 171,106.02 = 75,592.04 : x
  2. Step 2: Convert to fraction form
    123,987.31/171,106.02 = 75,592.04/x
  3. Step 3: Cross multiply
    123,987.31x = 171,106.02 × 75,592.04
  4. Step 4: Simplify right side
    123,987.31x = 12,934,252,252.55
  5. Step 5: Solve for x
    x = 12,934,252,252.55/123,987.31
  6. Step 6: Final answer
    x = 104,319.16

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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.