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Finding the Fourth Proportional to 138,458.52, 191,068.20 and 87,498.48

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Solution

The fourth proportional to 138,458.52, 191,068.20 and 87,498.48 is: 120,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,458.52 : 191,068.20 = 87,498.48 : x
  2. Step 2: Convert to fraction form
    138,458.52/191,068.20 = 87,498.48/x
  3. Step 3: Cross multiply
    138,458.52x = 191,068.20 × 87,498.48
  4. Step 4: Simplify right side
    138,458.52x = 16,718,177,076.34
  5. Step 5: Solve for x
    x = 16,718,177,076.34/138,458.52
  6. Step 6: Final answer
    x = 120,745.02

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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.