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Finding the Fourth Proportional to 99,718.58, 149,578.80 and 29,597.90

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Solution

The fourth proportional to 99,718.58, 149,578.80 and 29,597.90 is: 44,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,718.58 : 149,578.80 = 29,597.90 : x
  2. Step 2: Convert to fraction form
    99,718.58/149,578.80 = 29,597.90/x
  3. Step 3: Cross multiply
    99,718.58x = 149,578.80 × 29,597.90
  4. Step 4: Simplify right side
    99,718.58x = 4,427,218,364.52
  5. Step 5: Solve for x
    x = 4,427,218,364.52/99,718.58
  6. Step 6: Final answer
    x = 44,397.13

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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.