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Finding the Fourth Proportional to 138,082.72, 207,083.76 and 78,907.36

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Solution

The fourth proportional to 138,082.72, 207,083.76 and 78,907.36 is: 118,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,082.72 : 207,083.76 = 78,907.36 : x
  2. Step 2: Convert to fraction form
    138,082.72/207,083.76 = 78,907.36/x
  3. Step 3: Cross multiply
    138,082.72x = 207,083.76 × 78,907.36
  4. Step 4: Simplify right side
    138,082.72x = 16,340,432,800.47
  5. Step 5: Solve for x
    x = 16,340,432,800.47/138,082.72
  6. Step 6: Final answer
    x = 118,338.00

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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.