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Finding the Fourth Proportional to 74,882.88, 112,324.11 and 30,499.20

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Solution

The fourth proportional to 74,882.88, 112,324.11 and 30,499.20 is: 45,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,882.88 : 112,324.11 = 30,499.20 : x
  2. Step 2: Convert to fraction form
    74,882.88/112,324.11 = 30,499.20/x
  3. Step 3: Cross multiply
    74,882.88x = 112,324.11 × 30,499.20
  4. Step 4: Simplify right side
    74,882.88x = 3,425,795,495.71
  5. Step 5: Solve for x
    x = 3,425,795,495.71/74,882.88
  6. Step 6: Final answer
    x = 45,748.71

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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.