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Finding the Fourth Proportional to 99,715.59, 149,489.51 and 46,380.47

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Solution

The fourth proportional to 99,715.59, 149,489.51 and 46,380.47 is: 69,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,715.59 : 149,489.51 = 46,380.47 : x
  2. Step 2: Convert to fraction form
    99,715.59/149,489.51 = 46,380.47/x
  3. Step 3: Cross multiply
    99,715.59x = 149,489.51 × 46,380.47
  4. Step 4: Simplify right side
    99,715.59x = 6,933,393,315.11
  5. Step 5: Solve for x
    x = 6,933,393,315.11/99,715.59
  6. Step 6: Final answer
    x = 69,531.69

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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.