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Finding the Fourth Proportional to 85,530.80, 128,369.10 and 38,218.70

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Solution

The fourth proportional to 85,530.80, 128,369.10 and 38,218.70 is: 57,360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,530.80 : 128,369.10 = 38,218.70 : x
  2. Step 2: Convert to fraction form
    85,530.80/128,369.10 = 38,218.70/x
  3. Step 3: Cross multiply
    85,530.80x = 128,369.10 × 38,218.70
  4. Step 4: Simplify right side
    85,530.80x = 4,906,100,122.17
  5. Step 5: Solve for x
    x = 4,906,100,122.17/85,530.80
  6. Step 6: Final answer
    x = 57,360.62

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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.