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Finding the Fourth Proportional to 132,256.64, 198,396.84 and 38,763.20

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Solution

The fourth proportional to 132,256.64, 198,396.84 and 38,763.20 is: 58,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,256.64 : 198,396.84 = 38,763.20 : x
  2. Step 2: Convert to fraction form
    132,256.64/198,396.84 = 38,763.20/x
  3. Step 3: Cross multiply
    132,256.64x = 198,396.84 × 38,763.20
  4. Step 4: Simplify right side
    132,256.64x = 7,690,496,388.29
  5. Step 5: Solve for x
    x = 7,690,496,388.29/132,256.64
  6. Step 6: Final answer
    x = 58,148.28

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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.