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Finding the Fourth Proportional to 75,105.96, 103,615.92 and 43,257.84

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Solution

The fourth proportional to 75,105.96, 103,615.92 and 43,257.84 is: 59,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,105.96 : 103,615.92 = 43,257.84 : x
  2. Step 2: Convert to fraction form
    75,105.96/103,615.92 = 43,257.84/x
  3. Step 3: Cross multiply
    75,105.96x = 103,615.92 × 43,257.84
  4. Step 4: Simplify right side
    75,105.96x = 4,482,200,888.81
  5. Step 5: Solve for x
    x = 4,482,200,888.81/75,105.96
  6. Step 6: Final answer
    x = 59,678.36

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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.