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Finding the Fourth Proportional to 198,528, 297,624.64 and 86,123.56

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Solution

The fourth proportional to 198,528, 297,624.64 and 86,123.56 is: 129,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,528 : 297,624.64 = 86,123.56 : x
  2. Step 2: Convert to fraction form
    198,528/297,624.64 = 86,123.56/x
  3. Step 3: Cross multiply
    198,528x = 297,624.64 × 86,123.56
  4. Step 4: Simplify right side
    198,528x = 25,632,493,540.52
  5. Step 5: Solve for x
    x = 25,632,493,540.52/198,528
  6. Step 6: Final answer
    x = 129,112.74

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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.