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Finding the Fourth Proportional to 129,234.66, 178,289.01 and 78,904.50

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Solution

The fourth proportional to 129,234.66, 178,289.01 and 78,904.50 is: 108,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,234.66 : 178,289.01 = 78,904.50 : x
  2. Step 2: Convert to fraction form
    129,234.66/178,289.01 = 78,904.50/x
  3. Step 3: Cross multiply
    129,234.66x = 178,289.01 × 78,904.50
  4. Step 4: Simplify right side
    129,234.66x = 14,067,805,189.55
  5. Step 5: Solve for x
    x = 14,067,805,189.55/129,234.66
  6. Step 6: Final answer
    x = 108,854.74

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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.