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Finding the Fourth Proportional to 138,614.36, 191,287.68 and 74,952

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Solution

The fourth proportional to 138,614.36, 191,287.68 and 74,952 is: 103,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,614.36 : 191,287.68 = 74,952 : x
  2. Step 2: Convert to fraction form
    138,614.36/191,287.68 = 74,952/x
  3. Step 3: Cross multiply
    138,614.36x = 191,287.68 × 74,952
  4. Step 4: Simplify right side
    138,614.36x = 14,337,393,910.29
  5. Step 5: Solve for x
    x = 14,337,393,910.29/138,614.36
  6. Step 6: Final answer
    x = 103,433.69

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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.