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Finding the Fourth Proportional to 72,249.80, 99,702.97 and 40,419.83

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Solution

The fourth proportional to 72,249.80, 99,702.97 and 40,419.83 is: 55,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,249.80 : 99,702.97 = 40,419.83 : x
  2. Step 2: Convert to fraction form
    72,249.80/99,702.97 = 40,419.83/x
  3. Step 3: Cross multiply
    72,249.80x = 99,702.97 × 40,419.83
  4. Step 4: Simplify right side
    72,249.80x = 4,029,977,246.10
  5. Step 5: Solve for x
    x = 4,029,977,246.10/72,249.80
  6. Step 6: Final answer
    x = 55,778.39

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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.