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Finding the Fourth Proportional to 207,402.64, 311,034.76 and 81,010.10

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Solution

The fourth proportional to 207,402.64, 311,034.76 and 81,010.10 is: 121,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,402.64 : 311,034.76 = 81,010.10 : x
  2. Step 2: Convert to fraction form
    207,402.64/311,034.76 = 81,010.10/x
  3. Step 3: Cross multiply
    207,402.64x = 311,034.76 × 81,010.10
  4. Step 4: Simplify right side
    207,402.64x = 25,196,957,586.14
  5. Step 5: Solve for x
    x = 25,196,957,586.14/207,402.64
  6. Step 6: Final answer
    x = 121,488.13

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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.