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Finding the Fourth Proportional to 99,715.78, 149,489.78 and 46,380.66

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Solution

The fourth proportional to 99,715.78, 149,489.78 and 46,380.66 is: 69,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,715.78 : 149,489.78 = 46,380.66 : x
  2. Step 2: Convert to fraction form
    99,715.78/149,489.78 = 46,380.66/x
  3. Step 3: Cross multiply
    99,715.78x = 149,489.78 × 46,380.66
  4. Step 4: Simplify right side
    99,715.78x = 6,933,433,867.16
  5. Step 5: Solve for x
    x = 6,933,433,867.16/99,715.78
  6. Step 6: Final answer
    x = 69,531.96

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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.