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Finding the Fourth Proportional to 85,327.32, 128,034.18 and 57,567

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Solution

The fourth proportional to 85,327.32, 128,034.18 and 57,567 is: 86,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,327.32 : 128,034.18 = 57,567 : x
  2. Step 2: Convert to fraction form
    85,327.32/128,034.18 = 57,567/x
  3. Step 3: Cross multiply
    85,327.32x = 128,034.18 × 57,567
  4. Step 4: Simplify right side
    85,327.32x = 7,370,543,640.06
  5. Step 5: Solve for x
    x = 7,370,543,640.06/85,327.32
  6. Step 6: Final answer
    x = 86,379.65

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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.