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Finding the Fourth Proportional to 99,785.80, 149,700.30 and 29,672.20

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Solution

The fourth proportional to 99,785.80, 149,700.30 and 29,672.20 is: 44,514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,785.80 : 149,700.30 = 29,672.20 : x
  2. Step 2: Convert to fraction form
    99,785.80/149,700.30 = 29,672.20/x
  3. Step 3: Cross multiply
    99,785.80x = 149,700.30 × 29,672.20
  4. Step 4: Simplify right side
    99,785.80x = 4,441,937,241.66
  5. Step 5: Solve for x
    x = 4,441,937,241.66/99,785.80
  6. Step 6: Final answer
    x = 44,514.72

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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.