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Finding the Fourth Proportional to 113,407.80, 170,114.50 and 54,249.72

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Solution

The fourth proportional to 113,407.80, 170,114.50 and 54,249.72 is: 81,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,407.80 : 170,114.50 = 54,249.72 : x
  2. Step 2: Convert to fraction form
    113,407.80/170,114.50 = 54,249.72/x
  3. Step 3: Cross multiply
    113,407.80x = 170,114.50 × 54,249.72
  4. Step 4: Simplify right side
    113,407.80x = 9,228,663,992.94
  5. Step 5: Solve for x
    x = 9,228,663,992.94/113,407.80
  6. Step 6: Final answer
    x = 81,375.92

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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.