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Finding the Fourth Proportional to 198,506.79, 297,592.76 and 86,102.37

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Solution

The fourth proportional to 198,506.79, 297,592.76 and 86,102.37 is: 129,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,506.79 : 297,592.76 = 86,102.37 : x
  2. Step 2: Convert to fraction form
    198,506.79/297,592.76 = 86,102.37/x
  3. Step 3: Cross multiply
    198,506.79x = 297,592.76 × 86,102.37
  4. Step 4: Simplify right side
    198,506.79x = 25,623,442,008.56
  5. Step 5: Solve for x
    x = 25,623,442,008.56/198,506.79
  6. Step 6: Final answer
    x = 129,080.94

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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.