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Finding the Fourth Proportional to 99,493.14, 137,310.21 and 74,298.90

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Solution

The fourth proportional to 99,493.14, 137,310.21 and 74,298.90 is: 102,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,493.14 : 137,310.21 = 74,298.90 : x
  2. Step 2: Convert to fraction form
    99,493.14/137,310.21 = 74,298.90/x
  3. Step 3: Cross multiply
    99,493.14x = 137,310.21 × 74,298.90
  4. Step 4: Simplify right side
    99,493.14x = 10,201,997,561.77
  5. Step 5: Solve for x
    x = 10,201,997,561.77/99,493.14
  6. Step 6: Final answer
    x = 102,539.71

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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.