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Finding the Fourth Proportional to 87,085.76, 130,686.90 and 31,681.76

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Solution

The fourth proportional to 87,085.76, 130,686.90 and 31,681.76 is: 47,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,085.76 : 130,686.90 = 31,681.76 : x
  2. Step 2: Convert to fraction form
    87,085.76/130,686.90 = 31,681.76/x
  3. Step 3: Cross multiply
    87,085.76x = 130,686.90 × 31,681.76
  4. Step 4: Simplify right side
    87,085.76x = 4,140,391,000.94
  5. Step 5: Solve for x
    x = 4,140,391,000.94/87,085.76
  6. Step 6: Final answer
    x = 47,543.83

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1.5x scale

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.