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Finding the Fourth Proportional to 54,894.48, 75,753.60 and 31,020.40

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Solution

The fourth proportional to 54,894.48, 75,753.60 and 31,020.40 is: 42,807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,894.48 : 75,753.60 = 31,020.40 : x
  2. Step 2: Convert to fraction form
    54,894.48/75,753.60 = 31,020.40/x
  3. Step 3: Cross multiply
    54,894.48x = 75,753.60 × 31,020.40
  4. Step 4: Simplify right side
    54,894.48x = 2,349,906,973.44
  5. Step 5: Solve for x
    x = 2,349,906,973.44/54,894.48
  6. Step 6: Final answer
    x = 42,807.71

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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.