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Finding the Fourth Proportional to 99,903.53, 149,855.31 and 40,743.83

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Solution

The fourth proportional to 99,903.53, 149,855.31 and 40,743.83 is: 61,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,903.53 : 149,855.31 = 40,743.83 : x
  2. Step 2: Convert to fraction form
    99,903.53/149,855.31 = 40,743.83/x
  3. Step 3: Cross multiply
    99,903.53x = 149,855.31 × 40,743.83
  4. Step 4: Simplify right side
    99,903.53x = 6,105,679,649.88
  5. Step 5: Solve for x
    x = 6,105,679,649.88/99,903.53
  6. Step 6: Final answer
    x = 61,115.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.