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Finding the Fourth Proportional to 67,838.40, 101,728.80 and 32,788.80

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Solution

The fourth proportional to 67,838.40, 101,728.80 and 32,788.80 is: 49,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,838.40 : 101,728.80 = 32,788.80 : x
  2. Step 2: Convert to fraction form
    67,838.40/101,728.80 = 32,788.80/x
  3. Step 3: Cross multiply
    67,838.40x = 101,728.80 × 32,788.80
  4. Step 4: Simplify right side
    67,838.40x = 3,335,565,277.44
  5. Step 5: Solve for x
    x = 3,335,565,277.44/67,838.40
  6. Step 6: Final answer
    x = 49,169.28

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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.