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Finding the Fourth Proportional to 138,901.52, 191,683.91 and 75,239.57

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Solution

The fourth proportional to 138,901.52, 191,683.91 and 75,239.57 is: 103,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,901.52 : 191,683.91 = 75,239.57 : x
  2. Step 2: Convert to fraction form
    138,901.52/191,683.91 = 75,239.57/x
  3. Step 3: Cross multiply
    138,901.52x = 191,683.91 × 75,239.57
  4. Step 4: Simplify right side
    138,901.52x = 14,422,213,629.70
  5. Step 5: Solve for x
    x = 14,422,213,629.70/138,901.52
  6. Step 6: Final answer
    x = 103,830.50

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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.