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Finding the Fourth Proportional to 137,009.52, 205,575.84 and 87,076.68

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Solution

The fourth proportional to 137,009.52, 205,575.84 and 87,076.68 is: 130,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,009.52 : 205,575.84 = 87,076.68 : x
  2. Step 2: Convert to fraction form
    137,009.52/205,575.84 = 87,076.68/x
  3. Step 3: Cross multiply
    137,009.52x = 205,575.84 × 87,076.68
  4. Step 4: Simplify right side
    137,009.52x = 17,900,861,635.41
  5. Step 5: Solve for x
    x = 17,900,861,635.41/137,009.52
  6. Step 6: Final answer
    x = 130,654.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.