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Finding the Fourth Proportional to 207,719.52, 311,462.56 and 86,102.88

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Solution

The fourth proportional to 207,719.52, 311,462.56 and 86,102.88 is: 129,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,719.52 : 311,462.56 = 86,102.88 : x
  2. Step 2: Convert to fraction form
    207,719.52/311,462.56 = 86,102.88/x
  3. Step 3: Cross multiply
    207,719.52x = 311,462.56 × 86,102.88
  4. Step 4: Simplify right side
    207,719.52x = 26,817,823,428.17
  5. Step 5: Solve for x
    x = 26,817,823,428.17/207,719.52
  6. Step 6: Final answer
    x = 129,105.94

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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.