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Finding the Fourth Proportional to 71,742.84, 107,497.62 and 42,187.56

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Solution

The fourth proportional to 71,742.84, 107,497.62 and 42,187.56 is: 63,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,742.84 : 107,497.62 = 42,187.56 : x
  2. Step 2: Convert to fraction form
    71,742.84/107,497.62 = 42,187.56/x
  3. Step 3: Cross multiply
    71,742.84x = 107,497.62 × 42,187.56
  4. Step 4: Simplify right side
    71,742.84x = 4,535,062,293.61
  5. Step 5: Solve for x
    x = 4,535,062,293.61/71,742.84
  6. Step 6: Final answer
    x = 63,212.75

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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.