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Finding the Fourth Proportional to 87,175, 130,781.94 and 31,771

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Solution

The fourth proportional to 87,175, 130,781.94 and 31,771 is: 47,663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,175 : 130,781.94 = 31,771 : x
  2. Step 2: Convert to fraction form
    87,175/130,781.94 = 31,771/x
  3. Step 3: Cross multiply
    87,175x = 130,781.94 × 31,771
  4. Step 4: Simplify right side
    87,175x = 4,155,073,015.74
  5. Step 5: Solve for x
    x = 4,155,073,015.74/87,175
  6. Step 6: Final answer
    x = 47,663.58

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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.