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Finding the Fourth Proportional to 151,397.76, 208,938.24 and 84,329.76

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Solution

The fourth proportional to 151,397.76, 208,938.24 and 84,329.76 is: 116,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,397.76 : 208,938.24 = 84,329.76 : x
  2. Step 2: Convert to fraction form
    151,397.76/208,938.24 = 84,329.76/x
  3. Step 3: Cross multiply
    151,397.76x = 208,938.24 × 84,329.76
  4. Step 4: Simplify right side
    151,397.76x = 17,619,711,634.02
  5. Step 5: Solve for x
    x = 17,619,711,634.02/151,397.76
  6. Step 6: Final answer
    x = 116,380.27

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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.