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Finding the Fourth Proportional to 99,617.67, 149,449.87 and 39,649.78

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Solution

The fourth proportional to 99,617.67, 149,449.87 and 39,649.78 is: 59,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,617.67 : 149,449.87 = 39,649.78 : x
  2. Step 2: Convert to fraction form
    99,617.67/149,449.87 = 39,649.78/x
  3. Step 3: Cross multiply
    99,617.67x = 149,449.87 × 39,649.78
  4. Step 4: Simplify right side
    99,617.67x = 5,925,653,521.03
  5. Step 5: Solve for x
    x = 5,925,653,521.03/99,617.67
  6. Step 6: Final answer
    x = 59,483.96

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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.