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Finding the Fourth Proportional to 99,769.42, 137,704.35 and 67,951

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Solution

The fourth proportional to 99,769.42, 137,704.35 and 67,951 is: 93,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,769.42 : 137,704.35 = 67,951 : x
  2. Step 2: Convert to fraction form
    99,769.42/137,704.35 = 67,951/x
  3. Step 3: Cross multiply
    99,769.42x = 137,704.35 × 67,951
  4. Step 4: Simplify right side
    99,769.42x = 9,357,148,286.85
  5. Step 5: Solve for x
    x = 9,357,148,286.85/99,769.42
  6. Step 6: Final answer
    x = 93,787.74

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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.