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Finding the Fourth Proportional to 84,387.47, 116,399.82 and 54,124.86

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Solution

The fourth proportional to 84,387.47, 116,399.82 and 54,124.86 is: 74,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,387.47 : 116,399.82 = 54,124.86 : x
  2. Step 2: Convert to fraction form
    84,387.47/116,399.82 = 54,124.86/x
  3. Step 3: Cross multiply
    84,387.47x = 116,399.82 × 54,124.86
  4. Step 4: Simplify right side
    84,387.47x = 6,300,123,961.53
  5. Step 5: Solve for x
    x = 6,300,123,961.53/84,387.47
  6. Step 6: Final answer
    x = 74,657.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.