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Finding the Fourth Proportional to 138,695.13, 191,398.81 and 75,032.94

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Solution

The fourth proportional to 138,695.13, 191,398.81 and 75,032.94 is: 103,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,695.13 : 191,398.81 = 75,032.94 : x
  2. Step 2: Convert to fraction form
    138,695.13/191,398.81 = 75,032.94/x
  3. Step 3: Cross multiply
    138,695.13x = 191,398.81 × 75,032.94
  4. Step 4: Simplify right side
    138,695.13x = 14,361,215,426.80
  5. Step 5: Solve for x
    x = 14,361,215,426.80/138,695.13
  6. Step 6: Final answer
    x = 103,545.20

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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.