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Finding the Fourth Proportional to 91,686.48, 137,531.64 and 29,356.80

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Solution

The fourth proportional to 91,686.48, 137,531.64 and 29,356.80 is: 44,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,686.48 : 137,531.64 = 29,356.80 : x
  2. Step 2: Convert to fraction form
    91,686.48/137,531.64 = 29,356.80/x
  3. Step 3: Cross multiply
    91,686.48x = 137,531.64 × 29,356.80
  4. Step 4: Simplify right side
    91,686.48x = 4,037,488,849.15
  5. Step 5: Solve for x
    x = 4,037,488,849.15/91,686.48
  6. Step 6: Final answer
    x = 44,035.81

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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.