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Finding the Fourth Proportional to 67,102.32, 100,657.80 and 39,342

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Solution

The fourth proportional to 67,102.32, 100,657.80 and 39,342 is: 59,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,102.32 : 100,657.80 = 39,342 : x
  2. Step 2: Convert to fraction form
    67,102.32/100,657.80 = 39,342/x
  3. Step 3: Cross multiply
    67,102.32x = 100,657.80 × 39,342
  4. Step 4: Simplify right side
    67,102.32x = 3,960,079,167.60
  5. Step 5: Solve for x
    x = 3,960,079,167.60/67,102.32
  6. Step 6: Final answer
    x = 59,015.53

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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.