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Finding the Fourth Proportional to 99,176.40, 148,649.40 and 39,982.80

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Solution

The fourth proportional to 99,176.40, 148,649.40 and 39,982.80 is: 59,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,176.40 : 148,649.40 = 39,982.80 : x
  2. Step 2: Convert to fraction form
    99,176.40/148,649.40 = 39,982.80/x
  3. Step 3: Cross multiply
    99,176.40x = 148,649.40 × 39,982.80
  4. Step 4: Simplify right side
    99,176.40x = 5,943,419,230.32
  5. Step 5: Solve for x
    x = 5,943,419,230.32/99,176.40
  6. Step 6: Final answer
    x = 59,927.76

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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.