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Finding the Fourth Proportional to 87,314.52, 130,965.48 and 31,148.31

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Solution

The fourth proportional to 87,314.52, 130,965.48 and 31,148.31 is: 46,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,314.52 : 130,965.48 = 31,148.31 : x
  2. Step 2: Convert to fraction form
    87,314.52/130,965.48 = 31,148.31/x
  3. Step 3: Cross multiply
    87,314.52x = 130,965.48 × 31,148.31
  4. Step 4: Simplify right side
    87,314.52x = 4,079,353,370.34
  5. Step 5: Solve for x
    x = 4,079,353,370.34/87,314.52
  6. Step 6: Final answer
    x = 46,720.22

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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.