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Finding the Fourth Proportional to 138,059.36, 207,296.40 and 78,961.76

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Solution

The fourth proportional to 138,059.36, 207,296.40 and 78,961.76 is: 118,561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,059.36 : 207,296.40 = 78,961.76 : x
  2. Step 2: Convert to fraction form
    138,059.36/207,296.40 = 78,961.76/x
  3. Step 3: Cross multiply
    138,059.36x = 207,296.40 × 78,961.76
  4. Step 4: Simplify right side
    138,059.36x = 16,368,488,585.66
  5. Step 5: Solve for x
    x = 16,368,488,585.66/138,059.36
  6. Step 6: Final answer
    x = 118,561.24

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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.