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Finding the Fourth Proportional to 138,745.71, 191,470.44 and 75,084.87

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Solution

The fourth proportional to 138,745.71, 191,470.44 and 75,084.87 is: 103,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,745.71 : 191,470.44 = 75,084.87 : x
  2. Step 2: Convert to fraction form
    138,745.71/191,470.44 = 75,084.87/x
  3. Step 3: Cross multiply
    138,745.71x = 191,470.44 × 75,084.87
  4. Step 4: Simplify right side
    138,745.71x = 14,376,533,096.24
  5. Step 5: Solve for x
    x = 14,376,533,096.24/138,745.71
  6. Step 6: Final answer
    x = 103,617.86

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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.