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Finding the Fourth Proportional to 147,919.20, 221,878.80 and 144,031.20

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Solution

The fourth proportional to 147,919.20, 221,878.80 and 144,031.20 is: 216,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,919.20 : 221,878.80 = 144,031.20 : x
  2. Step 2: Convert to fraction form
    147,919.20/221,878.80 = 144,031.20/x
  3. Step 3: Cross multiply
    147,919.20x = 221,878.80 × 144,031.20
  4. Step 4: Simplify right side
    147,919.20x = 31,957,469,818.56
  5. Step 5: Solve for x
    x = 31,957,469,818.56/147,919.20
  6. Step 6: Final answer
    x = 216,046.80

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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.