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Finding the Fourth Proportional to 99,715.66, 149,489.59 and 46,380.53

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Solution

The fourth proportional to 99,715.66, 149,489.59 and 46,380.53 is: 69,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,715.66 : 149,489.59 = 46,380.53 : x
  2. Step 2: Convert to fraction form
    99,715.66/149,489.59 = 46,380.53/x
  3. Step 3: Cross multiply
    99,715.66x = 149,489.59 × 46,380.53
  4. Step 4: Simplify right side
    99,715.66x = 6,933,406,671.46
  5. Step 5: Solve for x
    x = 6,933,406,671.46/99,715.66
  6. Step 6: Final answer
    x = 69,531.78

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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.