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Finding the Fourth Proportional to 138,689.92, 191,391.43 and 75,027.16

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Solution

The fourth proportional to 138,689.92, 191,391.43 and 75,027.16 is: 103,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,689.92 : 191,391.43 = 75,027.16 : x
  2. Step 2: Convert to fraction form
    138,689.92/191,391.43 = 75,027.16/x
  3. Step 3: Cross multiply
    138,689.92x = 191,391.43 × 75,027.16
  4. Step 4: Simplify right side
    138,689.92x = 14,359,555,441.24
  5. Step 5: Solve for x
    x = 14,359,555,441.24/138,689.92
  6. Step 6: Final answer
    x = 103,537.12

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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.