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Finding the Fourth Proportional to 138,568.11, 191,224.14 and 74,905.92

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Solution

The fourth proportional to 138,568.11, 191,224.14 and 74,905.92 is: 103,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,568.11 : 191,224.14 = 74,905.92 : x
  2. Step 2: Convert to fraction form
    138,568.11/191,224.14 = 74,905.92/x
  3. Step 3: Cross multiply
    138,568.11x = 191,224.14 × 74,905.92
  4. Step 4: Simplify right side
    138,568.11x = 14,323,820,132.91
  5. Step 5: Solve for x
    x = 14,323,820,132.91/138,568.11
  6. Step 6: Final answer
    x = 103,370.25

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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.