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Finding the Fourth Proportional to 54,640.78, 75,406.14 and 31,981.88

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Solution

The fourth proportional to 54,640.78, 75,406.14 and 31,981.88 is: 44,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,640.78 : 75,406.14 = 31,981.88 : x
  2. Step 2: Convert to fraction form
    54,640.78/75,406.14 = 31,981.88/x
  3. Step 3: Cross multiply
    54,640.78x = 75,406.14 × 31,981.88
  4. Step 4: Simplify right side
    54,640.78x = 2,411,630,120.74
  5. Step 5: Solve for x
    x = 2,411,630,120.74/54,640.78
  6. Step 6: Final answer
    x = 44,136.09

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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.