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Finding the Fourth Proportional to 147,630.84, 221,481.36 and 47,791

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Solution

The fourth proportional to 147,630.84, 221,481.36 and 47,791 is: 71,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,630.84 : 221,481.36 = 47,791 : x
  2. Step 2: Convert to fraction form
    147,630.84/221,481.36 = 47,791/x
  3. Step 3: Cross multiply
    147,630.84x = 221,481.36 × 47,791
  4. Step 4: Simplify right side
    147,630.84x = 10,584,815,675.76
  5. Step 5: Solve for x
    x = 10,584,815,675.76/147,630.84
  6. Step 6: Final answer
    x = 71,697.86

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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.