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Finding the Fourth Proportional to 198,134.64, 297,132.84 and 87,266.16

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Solution

The fourth proportional to 198,134.64, 297,132.84 and 87,266.16 is: 130,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,134.64 : 297,132.84 = 87,266.16 : x
  2. Step 2: Convert to fraction form
    198,134.64/297,132.84 = 87,266.16/x
  3. Step 3: Cross multiply
    198,134.64x = 297,132.84 × 87,266.16
  4. Step 4: Simplify right side
    198,134.64x = 25,929,641,956.69
  5. Step 5: Solve for x
    x = 25,929,641,956.69/198,134.64
  6. Step 6: Final answer
    x = 130,868.80

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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.