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Finding the Fourth Proportional to 85,820.75, 128,761.37 and 38,431.97

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Solution

The fourth proportional to 85,820.75, 128,761.37 and 38,431.97 is: 57,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,820.75 : 128,761.37 = 38,431.97 : x
  2. Step 2: Convert to fraction form
    85,820.75/128,761.37 = 38,431.97/x
  3. Step 3: Cross multiply
    85,820.75x = 128,761.37 × 38,431.97
  4. Step 4: Simplify right side
    85,820.75x = 4,948,552,916.84
  5. Step 5: Solve for x
    x = 4,948,552,916.84/85,820.75
  6. Step 6: Final answer
    x = 57,661.50

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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.