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Finding the Fourth Proportional to 138,952.40, 191,749.17 and 75,288.83

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Solution

The fourth proportional to 138,952.40, 191,749.17 and 75,288.83 is: 103,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,952.40 : 191,749.17 = 75,288.83 : x
  2. Step 2: Convert to fraction form
    138,952.40/191,749.17 = 75,288.83/x
  3. Step 3: Cross multiply
    138,952.40x = 191,749.17 × 75,288.83
  4. Step 4: Simplify right side
    138,952.40x = 14,436,569,986.36
  5. Step 5: Solve for x
    x = 14,436,569,986.36/138,952.40
  6. Step 6: Final answer
    x = 103,895.80

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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.