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Finding the Fourth Proportional to 147,201.42, 220,654.47 and 68,371

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Solution

The fourth proportional to 147,201.42, 220,654.47 and 68,371 is: 102,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,201.42 : 220,654.47 = 68,371 : x
  2. Step 2: Convert to fraction form
    147,201.42/220,654.47 = 68,371/x
  3. Step 3: Cross multiply
    147,201.42x = 220,654.47 × 68,371
  4. Step 4: Simplify right side
    147,201.42x = 15,086,366,768.37
  5. Step 5: Solve for x
    x = 15,086,366,768.37/147,201.42
  6. Step 6: Final answer
    x = 102,487.92

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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.