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Finding the Fourth Proportional to 99,338, 149,006.28 and 40,172.96

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Solution

The fourth proportional to 99,338, 149,006.28 and 40,172.96 is: 60,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,338 : 149,006.28 = 40,172.96 : x
  2. Step 2: Convert to fraction form
    99,338/149,006.28 = 40,172.96/x
  3. Step 3: Cross multiply
    99,338x = 149,006.28 × 40,172.96
  4. Step 4: Simplify right side
    99,338x = 5,986,023,326.19
  5. Step 5: Solve for x
    x = 5,986,023,326.19/99,338
  6. Step 6: Final answer
    x = 60,259.15

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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.