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Finding the Fourth Proportional to 99,770.53, 137,686.23 and 54,451.42

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Solution

The fourth proportional to 99,770.53, 137,686.23 and 54,451.42 is: 75,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,770.53 : 137,686.23 = 54,451.42 : x
  2. Step 2: Convert to fraction form
    99,770.53/137,686.23 = 54,451.42/x
  3. Step 3: Cross multiply
    99,770.53x = 137,686.23 × 54,451.42
  4. Step 4: Simplify right side
    99,770.53x = 7,497,210,737.95
  5. Step 5: Solve for x
    x = 7,497,210,737.95/99,770.53
  6. Step 6: Final answer
    x = 75,144.54

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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.