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Finding the Fourth Proportional to 143,642.52, 215,478.49 and 54,970.60

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Solution

The fourth proportional to 143,642.52, 215,478.49 and 54,970.60 is: 82,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,642.52 : 215,478.49 = 54,970.60 : x
  2. Step 2: Convert to fraction form
    143,642.52/215,478.49 = 54,970.60/x
  3. Step 3: Cross multiply
    143,642.52x = 215,478.49 × 54,970.60
  4. Step 4: Simplify right side
    143,642.52x = 11,844,981,882.39
  5. Step 5: Solve for x
    x = 11,844,981,882.39/143,642.52
  6. Step 6: Final answer
    x = 82,461.53

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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.