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Finding the Fourth Proportional to 85,577.58, 128,311.70 and 41,115.87

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Solution

The fourth proportional to 85,577.58, 128,311.70 and 41,115.87 is: 61,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,577.58 : 128,311.70 = 41,115.87 : x
  2. Step 2: Convert to fraction form
    85,577.58/128,311.70 = 41,115.87/x
  3. Step 3: Cross multiply
    85,577.58x = 128,311.70 × 41,115.87
  4. Step 4: Simplify right side
    85,577.58x = 5,275,646,971.10
  5. Step 5: Solve for x
    x = 5,275,646,971.10/85,577.58
  6. Step 6: Final answer
    x = 61,647.54

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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.