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Finding the Fourth Proportional to 143,729.78, 215,587.31 and 54,976.46

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Solution

The fourth proportional to 143,729.78, 215,587.31 and 54,976.46 is: 82,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,729.78 : 215,587.31 = 54,976.46 : x
  2. Step 2: Convert to fraction form
    143,729.78/215,587.31 = 54,976.46/x
  3. Step 3: Cross multiply
    143,729.78x = 215,587.31 × 54,976.46
  4. Step 4: Simplify right side
    143,729.78x = 11,852,225,771.90
  5. Step 5: Solve for x
    x = 11,852,225,771.90/143,729.78
  6. Step 6: Final answer
    x = 82,461.87

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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.