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Finding the Fourth Proportional to 120,785.01, 181,103.10 and 40,815.42

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Solution

The fourth proportional to 120,785.01, 181,103.10 and 40,815.42 is: 61,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,785.01 : 181,103.10 = 40,815.42 : x
  2. Step 2: Convert to fraction form
    120,785.01/181,103.10 = 40,815.42/x
  3. Step 3: Cross multiply
    120,785.01x = 181,103.10 × 40,815.42
  4. Step 4: Simplify right side
    120,785.01x = 7,391,799,089.80
  5. Step 5: Solve for x
    x = 7,391,799,089.80/120,785.01
  6. Step 6: Final answer
    x = 61,197.98

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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.