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Finding the Fourth Proportional to 86,149.83, 129,207.71 and 81,877.60

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Solution

The fourth proportional to 86,149.83, 129,207.71 and 81,877.60 is: 122,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,149.83 : 129,207.71 = 81,877.60 : x
  2. Step 2: Convert to fraction form
    86,149.83/129,207.71 = 81,877.60/x
  3. Step 3: Cross multiply
    86,149.83x = 129,207.71 × 81,877.60
  4. Step 4: Simplify right side
    86,149.83x = 10,579,217,101.94
  5. Step 5: Solve for x
    x = 10,579,217,101.94/86,149.83
  6. Step 6: Final answer
    x = 122,800.21

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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.