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Finding the Fourth Proportional to 147,642.86, 203,747.09 and 80,574.86

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Solution

The fourth proportional to 147,642.86, 203,747.09 and 80,574.86 is: 111,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,642.86 : 203,747.09 = 80,574.86 : x
  2. Step 2: Convert to fraction form
    147,642.86/203,747.09 = 80,574.86/x
  3. Step 3: Cross multiply
    147,642.86x = 203,747.09 × 80,574.86
  4. Step 4: Simplify right side
    147,642.86x = 16,416,893,358.65
  5. Step 5: Solve for x
    x = 16,416,893,358.65/147,642.86
  6. Step 6: Final answer
    x = 111,193.27

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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.