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Finding the Fourth Proportional to 138,951.54, 191,753.30 and 75,289.32

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Solution

The fourth proportional to 138,951.54, 191,753.30 and 75,289.32 is: 103,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,951.54 : 191,753.30 = 75,289.32 : x
  2. Step 2: Convert to fraction form
    138,951.54/191,753.30 = 75,289.32/x
  3. Step 3: Cross multiply
    138,951.54x = 191,753.30 × 75,289.32
  4. Step 4: Simplify right side
    138,951.54x = 14,436,975,752.98
  5. Step 5: Solve for x
    x = 14,436,975,752.98/138,951.54
  6. Step 6: Final answer
    x = 103,899.36

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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.