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Finding the Fourth Proportional to 67,777.74, 101,690.82 and 41,178

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Solution

The fourth proportional to 67,777.74, 101,690.82 and 41,178 is: 61,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,777.74 : 101,690.82 = 41,178 : x
  2. Step 2: Convert to fraction form
    67,777.74/101,690.82 = 41,178/x
  3. Step 3: Cross multiply
    67,777.74x = 101,690.82 × 41,178
  4. Step 4: Simplify right side
    67,777.74x = 4,187,424,585.96
  5. Step 5: Solve for x
    x = 4,187,424,585.96/67,777.74
  6. Step 6: Final answer
    x = 61,781.71

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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.