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Finding the Fourth Proportional to 261,791.74, 361,251.30 and 147,064.15

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Solution

The fourth proportional to 261,791.74, 361,251.30 and 147,064.15 is: 202,936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,791.74 : 361,251.30 = 147,064.15 : x
  2. Step 2: Convert to fraction form
    261,791.74/361,251.30 = 147,064.15/x
  3. Step 3: Cross multiply
    261,791.74x = 361,251.30 × 147,064.15
  4. Step 4: Simplify right side
    261,791.74x = 53,127,115,370.90
  5. Step 5: Solve for x
    x = 53,127,115,370.90/261,791.74
  6. Step 6: Final answer
    x = 202,936.56

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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.