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Finding the Fourth Proportional to 138,569, 191,225.50 and 74,906.79

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Solution

The fourth proportional to 138,569, 191,225.50 and 74,906.79 is: 103,371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,569 : 191,225.50 = 74,906.79 : x
  2. Step 2: Convert to fraction form
    138,569/191,225.50 = 74,906.79/x
  3. Step 3: Cross multiply
    138,569x = 191,225.50 × 74,906.79
  4. Step 4: Simplify right side
    138,569x = 14,324,088,371.15
  5. Step 5: Solve for x
    x = 14,324,088,371.15/138,569
  6. Step 6: Final answer
    x = 103,371.52

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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.