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Finding the Fourth Proportional to 98,221.64, 147,397 and 53,879.54

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Solution

The fourth proportional to 98,221.64, 147,397 and 53,879.54 is: 80,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,221.64 : 147,397 = 53,879.54 : x
  2. Step 2: Convert to fraction form
    98,221.64/147,397 = 53,879.54/x
  3. Step 3: Cross multiply
    98,221.64x = 147,397 × 53,879.54
  4. Step 4: Simplify right side
    98,221.64x = 7,941,682,557.38
  5. Step 5: Solve for x
    x = 7,941,682,557.38/98,221.64
  6. Step 6: Final answer
    x = 80,854.71

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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.