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Finding the Fourth Proportional to 84,822.70, 127,234.05 and 25,652.20

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Solution

The fourth proportional to 84,822.70, 127,234.05 and 25,652.20 is: 38,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,822.70 : 127,234.05 = 25,652.20 : x
  2. Step 2: Convert to fraction form
    84,822.70/127,234.05 = 25,652.20/x
  3. Step 3: Cross multiply
    84,822.70x = 127,234.05 × 25,652.20
  4. Step 4: Simplify right side
    84,822.70x = 3,263,833,297.41
  5. Step 5: Solve for x
    x = 3,263,833,297.41/84,822.70
  6. Step 6: Final answer
    x = 38,478.30

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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.