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Finding the Fourth Proportional to 99,078.42, 148,363.90 and 54,655.80

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Solution

The fourth proportional to 99,078.42, 148,363.90 and 54,655.80 is: 81,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,078.42 : 148,363.90 = 54,655.80 : x
  2. Step 2: Convert to fraction form
    99,078.42/148,363.90 = 54,655.80/x
  3. Step 3: Cross multiply
    99,078.42x = 148,363.90 × 54,655.80
  4. Step 4: Simplify right side
    99,078.42x = 8,108,947,645.62
  5. Step 5: Solve for x
    x = 8,108,947,645.62/99,078.42
  6. Step 6: Final answer
    x = 81,843.73

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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.