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Finding the Fourth Proportional to 84,747.60, 127,153.80 and 83,419.20

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Solution

The fourth proportional to 84,747.60, 127,153.80 and 83,419.20 is: 125,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,747.60 : 127,153.80 = 83,419.20 : x
  2. Step 2: Convert to fraction form
    84,747.60/127,153.80 = 83,419.20/x
  3. Step 3: Cross multiply
    84,747.60x = 127,153.80 × 83,419.20
  4. Step 4: Simplify right side
    84,747.60x = 10,607,068,272.96
  5. Step 5: Solve for x
    x = 10,607,068,272.96/84,747.60
  6. Step 6: Final answer
    x = 125,160.69

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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.