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Finding the Fourth Proportional to 67,782.68, 93,517.68 and 40,914.98

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Solution

The fourth proportional to 67,782.68, 93,517.68 and 40,914.98 is: 56,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,782.68 : 93,517.68 = 40,914.98 : x
  2. Step 2: Convert to fraction form
    67,782.68/93,517.68 = 40,914.98/x
  3. Step 3: Cross multiply
    67,782.68x = 93,517.68 × 40,914.98
  4. Step 4: Simplify right side
    67,782.68x = 3,826,274,006.85
  5. Step 5: Solve for x
    x = 3,826,274,006.85/67,782.68
  6. Step 6: Final answer
    x = 56,449.14

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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.