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Finding the Fourth Proportional to 99,771.82, 137,688 and 54,452.70

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Solution

The fourth proportional to 99,771.82, 137,688 and 54,452.70 is: 75,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,771.82 : 137,688 = 54,452.70 : x
  2. Step 2: Convert to fraction form
    99,771.82/137,688 = 54,452.70/x
  3. Step 3: Cross multiply
    99,771.82x = 137,688 × 54,452.70
  4. Step 4: Simplify right side
    99,771.82x = 7,497,483,357.60
  5. Step 5: Solve for x
    x = 7,497,483,357.60/99,771.82
  6. Step 6: Final answer
    x = 75,146.30

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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.