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Finding the Fourth Proportional to 83,143.44, 124,714.80 and 20,813.76

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Solution

The fourth proportional to 83,143.44, 124,714.80 and 20,813.76 is: 31,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143.44 : 124,714.80 = 20,813.76 : x
  2. Step 2: Convert to fraction form
    83,143.44/124,714.80 = 20,813.76/x
  3. Step 3: Cross multiply
    83,143.44x = 124,714.80 × 20,813.76
  4. Step 4: Simplify right side
    83,143.44x = 2,595,783,915.65
  5. Step 5: Solve for x
    x = 2,595,783,915.65/83,143.44
  6. Step 6: Final answer
    x = 31,220.55

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1.5x scale

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.