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Finding the Fourth Proportional to 85,941, 128,961.68 and 36,016.96

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Solution

The fourth proportional to 85,941, 128,961.68 and 36,016.96 is: 54,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,941 : 128,961.68 = 36,016.96 : x
  2. Step 2: Convert to fraction form
    85,941/128,961.68 = 36,016.96/x
  3. Step 3: Cross multiply
    85,941x = 128,961.68 × 36,016.96
  4. Step 4: Simplify right side
    85,941x = 4,644,807,670.09
  5. Step 5: Solve for x
    x = 4,644,807,670.09/85,941
  6. Step 6: Final answer
    x = 54,046.47

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1.5x scale

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.