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Finding the Fourth Proportional to 138,870, 191,640.24 and 75,207.60

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Solution

The fourth proportional to 138,870, 191,640.24 and 75,207.60 is: 103,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,870 : 191,640.24 = 75,207.60 : x
  2. Step 2: Convert to fraction form
    138,870/191,640.24 = 75,207.60/x
  3. Step 3: Cross multiply
    138,870x = 191,640.24 × 75,207.60
  4. Step 4: Simplify right side
    138,870x = 14,412,802,513.82
  5. Step 5: Solve for x
    x = 14,412,802,513.82/138,870
  6. Step 6: Final answer
    x = 103,786.29

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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.