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Finding the Fourth Proportional to 89,765.20, 134,647.80 and 54,773.20

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Solution

The fourth proportional to 89,765.20, 134,647.80 and 54,773.20 is: 82,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,765.20 : 134,647.80 = 54,773.20 : x
  2. Step 2: Convert to fraction form
    89,765.20/134,647.80 = 54,773.20/x
  3. Step 3: Cross multiply
    89,765.20x = 134,647.80 × 54,773.20
  4. Step 4: Simplify right side
    89,765.20x = 7,375,090,878.96
  5. Step 5: Solve for x
    x = 7,375,090,878.96/89,765.20
  6. Step 6: Final answer
    x = 82,159.80

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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.