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Finding the Fourth Proportional to 99,770.82, 137,686.62 and 54,451.71

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Solution

The fourth proportional to 99,770.82, 137,686.62 and 54,451.71 is: 75,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,770.82 : 137,686.62 = 54,451.71 : x
  2. Step 2: Convert to fraction form
    99,770.82/137,686.62 = 54,451.71/x
  3. Step 3: Cross multiply
    99,770.82x = 137,686.62 × 54,451.71
  4. Step 4: Simplify right side
    99,770.82x = 7,497,271,903.12
  5. Step 5: Solve for x
    x = 7,497,271,903.12/99,770.82
  6. Step 6: Final answer
    x = 75,144.94

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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.