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Finding the Fourth Proportional to 83,531.70, 125,297.55 and 21,202.20

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Solution

The fourth proportional to 83,531.70, 125,297.55 and 21,202.20 is: 31,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,531.70 : 125,297.55 = 21,202.20 : x
  2. Step 2: Convert to fraction form
    83,531.70/125,297.55 = 21,202.20/x
  3. Step 3: Cross multiply
    83,531.70x = 125,297.55 × 21,202.20
  4. Step 4: Simplify right side
    83,531.70x = 2,656,583,714.61
  5. Step 5: Solve for x
    x = 2,656,583,714.61/83,531.70
  6. Step 6: Final answer
    x = 31,803.30

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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.