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Finding the Fourth Proportional to 144,076.71, 215,967.26 and 55,306.31

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Solution

The fourth proportional to 144,076.71, 215,967.26 and 55,306.31 is: 82,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,076.71 : 215,967.26 = 55,306.31 : x
  2. Step 2: Convert to fraction form
    144,076.71/215,967.26 = 55,306.31/x
  3. Step 3: Cross multiply
    144,076.71x = 215,967.26 × 55,306.31
  4. Step 4: Simplify right side
    144,076.71x = 11,944,352,231.41
  5. Step 5: Solve for x
    x = 11,944,352,231.41/144,076.71
  6. Step 6: Final answer
    x = 82,902.73

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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.