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Finding the Fourth Proportional to 101,507.97, 152,264.09 and 31,387.29

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Solution

The fourth proportional to 101,507.97, 152,264.09 and 31,387.29 is: 47,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,507.97 : 152,264.09 = 31,387.29 : x
  2. Step 2: Convert to fraction form
    101,507.97/152,264.09 = 31,387.29/x
  3. Step 3: Cross multiply
    101,507.97x = 152,264.09 × 31,387.29
  4. Step 4: Simplify right side
    101,507.97x = 4,779,157,149.42
  5. Step 5: Solve for x
    x = 4,779,157,149.42/101,507.97
  6. Step 6: Final answer
    x = 47,081.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.