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Finding the Fourth Proportional to 198,544.91, 297,649.89 and 86,140.40

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Solution

The fourth proportional to 198,544.91, 297,649.89 and 86,140.40 is: 129,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,544.91 : 297,649.89 = 86,140.40 : x
  2. Step 2: Convert to fraction form
    198,544.91/297,649.89 = 86,140.40/x
  3. Step 3: Cross multiply
    198,544.91x = 297,649.89 × 86,140.40
  4. Step 4: Simplify right side
    198,544.91x = 25,639,679,096.31
  5. Step 5: Solve for x
    x = 25,639,679,096.31/198,544.91
  6. Step 6: Final answer
    x = 129,137.94

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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.