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Finding the Fourth Proportional to 252,972.86, 349,115.98 and 145,559.20

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Solution

The fourth proportional to 252,972.86, 349,115.98 and 145,559.20 is: 200,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,972.86 : 349,115.98 = 145,559.20 : x
  2. Step 2: Convert to fraction form
    252,972.86/349,115.98 = 145,559.20/x
  3. Step 3: Cross multiply
    252,972.86x = 349,115.98 × 145,559.20
  4. Step 4: Simplify right side
    252,972.86x = 50,817,042,756.02
  5. Step 5: Solve for x
    x = 50,817,042,756.02/252,972.86
  6. Step 6: Final answer
    x = 200,879.43

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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.