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Finding the Fourth Proportional to 55,891.87, 77,131.10 and 30,398.54

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Solution

The fourth proportional to 55,891.87, 77,131.10 and 30,398.54 is: 41,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,891.87 : 77,131.10 = 30,398.54 : x
  2. Step 2: Convert to fraction form
    55,891.87/77,131.10 = 30,398.54/x
  3. Step 3: Cross multiply
    55,891.87x = 77,131.10 × 30,398.54
  4. Step 4: Simplify right side
    55,891.87x = 2,344,672,290.95
  5. Step 5: Solve for x
    x = 2,344,672,290.95/55,891.87
  6. Step 6: Final answer
    x = 41,950.15

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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.