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Finding the Fourth Proportional to 115,207.31, 159,016.16 and 75,031.31

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Solution

The fourth proportional to 115,207.31, 159,016.16 and 75,031.31 is: 103,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,207.31 : 159,016.16 = 75,031.31 : x
  2. Step 2: Convert to fraction form
    115,207.31/159,016.16 = 75,031.31/x
  3. Step 3: Cross multiply
    115,207.31x = 159,016.16 × 75,031.31
  4. Step 4: Simplify right side
    115,207.31x = 11,931,190,795.97
  5. Step 5: Solve for x
    x = 11,931,190,795.97/115,207.31
  6. Step 6: Final answer
    x = 103,562.79

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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.