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Finding the Fourth Proportional to 85,982.59, 128,857.24 and 48,524.14

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Solution

The fourth proportional to 85,982.59, 128,857.24 and 48,524.14 is: 72,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,982.59 : 128,857.24 = 48,524.14 : x
  2. Step 2: Convert to fraction form
    85,982.59/128,857.24 = 48,524.14/x
  3. Step 3: Cross multiply
    85,982.59x = 128,857.24 × 48,524.14
  4. Step 4: Simplify right side
    85,982.59x = 6,252,686,310.32
  5. Step 5: Solve for x
    x = 6,252,686,310.32/85,982.59
  6. Step 6: Final answer
    x = 72,720.38

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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.