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Finding the Fourth Proportional to 54,707.78, 75,494.54 and 30,839.40

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Solution

The fourth proportional to 54,707.78, 75,494.54 and 30,839.40 is: 42,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,707.78 : 75,494.54 = 30,839.40 : x
  2. Step 2: Convert to fraction form
    54,707.78/75,494.54 = 30,839.40/x
  3. Step 3: Cross multiply
    54,707.78x = 75,494.54 × 30,839.40
  4. Step 4: Simplify right side
    54,707.78x = 2,328,206,677.08
  5. Step 5: Solve for x
    x = 2,328,206,677.08/54,707.78
  6. Step 6: Final answer
    x = 42,557.14

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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.