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Finding the Fourth Proportional to 86,474, 129,543.16 and 56,801.80

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Solution

The fourth proportional to 86,474, 129,543.16 and 56,801.80 is: 85,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,474 : 129,543.16 = 56,801.80 : x
  2. Step 2: Convert to fraction form
    86,474/129,543.16 = 56,801.80/x
  3. Step 3: Cross multiply
    86,474x = 129,543.16 × 56,801.80
  4. Step 4: Simplify right side
    86,474x = 7,358,284,665.69
  5. Step 5: Solve for x
    x = 7,358,284,665.69/86,474
  6. Step 6: Final answer
    x = 85,092.45

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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.