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Finding the Fourth Proportional to 99,830.32, 137,766.14 and 54,508.70

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Solution

The fourth proportional to 99,830.32, 137,766.14 and 54,508.70 is: 75,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,830.32 : 137,766.14 = 54,508.70 : x
  2. Step 2: Convert to fraction form
    99,830.32/137,766.14 = 54,508.70/x
  3. Step 3: Cross multiply
    99,830.32x = 137,766.14 × 54,508.70
  4. Step 4: Simplify right side
    99,830.32x = 7,509,453,195.42
  5. Step 5: Solve for x
    x = 7,509,453,195.42/99,830.32
  6. Step 6: Final answer
    x = 75,222.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.