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Finding the Fourth Proportional to 75,212.68, 103,793.78 and 43,381.70

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Solution

The fourth proportional to 75,212.68, 103,793.78 and 43,381.70 is: 59,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,212.68 : 103,793.78 = 43,381.70 : x
  2. Step 2: Convert to fraction form
    75,212.68/103,793.78 = 43,381.70/x
  3. Step 3: Cross multiply
    75,212.68x = 103,793.78 × 43,381.70
  4. Step 4: Simplify right side
    75,212.68x = 4,502,750,625.83
  5. Step 5: Solve for x
    x = 4,502,750,625.83/75,212.68
  6. Step 6: Final answer
    x = 59,866.91

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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.