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Finding the Fourth Proportional to 151,761.70, 209,430 and 83,778.70

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Solution

The fourth proportional to 151,761.70, 209,430 and 83,778.70 is: 115,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,761.70 : 209,430 = 83,778.70 : x
  2. Step 2: Convert to fraction form
    151,761.70/209,430 = 83,778.70/x
  3. Step 3: Cross multiply
    151,761.70x = 209,430 × 83,778.70
  4. Step 4: Simplify right side
    151,761.70x = 17,545,773,141
  5. Step 5: Solve for x
    x = 17,545,773,141/151,761.70
  6. Step 6: Final answer
    x = 115,613.97

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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.