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Finding the Fourth Proportional to 89,195.40, 133,793.10 and 84,821.40

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Solution

The fourth proportional to 89,195.40, 133,793.10 and 84,821.40 is: 127,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,195.40 : 133,793.10 = 84,821.40 : x
  2. Step 2: Convert to fraction form
    89,195.40/133,793.10 = 84,821.40/x
  3. Step 3: Cross multiply
    89,195.40x = 133,793.10 × 84,821.40
  4. Step 4: Simplify right side
    89,195.40x = 11,348,518,052.34
  5. Step 5: Solve for x
    x = 11,348,518,052.34/89,195.40
  6. Step 6: Final answer
    x = 127,232.10

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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.