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Finding the Fourth Proportional to 144,003.80, 215,823.45 and 55,138.70

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Solution

The fourth proportional to 144,003.80, 215,823.45 and 55,138.70 is: 82,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,003.80 : 215,823.45 = 55,138.70 : x
  2. Step 2: Convert to fraction form
    144,003.80/215,823.45 = 55,138.70/x
  3. Step 3: Cross multiply
    144,003.80x = 215,823.45 × 55,138.70
  4. Step 4: Simplify right side
    144,003.80x = 11,900,224,462.52
  5. Step 5: Solve for x
    x = 11,900,224,462.52/144,003.80
  6. Step 6: Final answer
    x = 82,638.27

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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.