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Finding the Fourth Proportional to 138,505.14, 207,612.72 and 78,458.63

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Solution

The fourth proportional to 138,505.14, 207,612.72 and 78,458.63 is: 117,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,505.14 : 207,612.72 = 78,458.63 : x
  2. Step 2: Convert to fraction form
    138,505.14/207,612.72 = 78,458.63/x
  3. Step 3: Cross multiply
    138,505.14x = 207,612.72 × 78,458.63
  4. Step 4: Simplify right side
    138,505.14x = 16,289,008,543.71
  5. Step 5: Solve for x
    x = 16,289,008,543.71/138,505.14
  6. Step 6: Final answer
    x = 117,605.81

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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.