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Finding the Fourth Proportional to 75,648.48, 104,382 and 42,108

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Solution

The fourth proportional to 75,648.48, 104,382 and 42,108 is: 58,101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,648.48 : 104,382 = 42,108 : x
  2. Step 2: Convert to fraction form
    75,648.48/104,382 = 42,108/x
  3. Step 3: Cross multiply
    75,648.48x = 104,382 × 42,108
  4. Step 4: Simplify right side
    75,648.48x = 4,395,317,256
  5. Step 5: Solve for x
    x = 4,395,317,256/75,648.48
  6. Step 6: Final answer
    x = 58,101.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.