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Finding the Fourth Proportional to 85,708.41, 128,645.54 and 41,366.38

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Solution

The fourth proportional to 85,708.41, 128,645.54 and 41,366.38 is: 62,089.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,708.41 : 128,645.54 = 41,366.38 : x
  2. Step 2: Convert to fraction form
    85,708.41/128,645.54 = 41,366.38/x
  3. Step 3: Cross multiply
    85,708.41x = 128,645.54 × 41,366.38
  4. Step 4: Simplify right side
    85,708.41x = 5,321,600,634.73
  5. Step 5: Solve for x
    x = 5,321,600,634.73/85,708.41
  6. Step 6: Final answer
    x = 62,089.59

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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.