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Finding the Fourth Proportional to 54,959.50, 75,844.12 and 31,085.66

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Solution

The fourth proportional to 54,959.50, 75,844.12 and 31,085.66 is: 42,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,959.50 : 75,844.12 = 31,085.66 : x
  2. Step 2: Convert to fraction form
    54,959.50/75,844.12 = 31,085.66/x
  3. Step 3: Cross multiply
    54,959.50x = 75,844.12 × 31,085.66
  4. Step 4: Simplify right side
    54,959.50x = 2,357,664,371.89
  5. Step 5: Solve for x
    x = 2,357,664,371.89/54,959.50
  6. Step 6: Final answer
    x = 42,898.21

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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.