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Finding the Fourth Proportional to 80,933.84, 111,741 and 56,691.32

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Solution

The fourth proportional to 80,933.84, 111,741 and 56,691.32 is: 78,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,933.84 : 111,741 = 56,691.32 : x
  2. Step 2: Convert to fraction form
    80,933.84/111,741 = 56,691.32/x
  3. Step 3: Cross multiply
    80,933.84x = 111,741 × 56,691.32
  4. Step 4: Simplify right side
    80,933.84x = 6,334,744,788.12
  5. Step 5: Solve for x
    x = 6,334,744,788.12/80,933.84
  6. Step 6: Final answer
    x = 78,270.66

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1.5x scale

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.