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Finding the Fourth Proportional to 73,422.78, 110,138.35 and 20,828.13

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Solution

The fourth proportional to 73,422.78, 110,138.35 and 20,828.13 is: 31,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,422.78 : 110,138.35 = 20,828.13 : x
  2. Step 2: Convert to fraction form
    73,422.78/110,138.35 = 20,828.13/x
  3. Step 3: Cross multiply
    73,422.78x = 110,138.35 × 20,828.13
  4. Step 4: Simplify right side
    73,422.78x = 2,293,975,871.79
  5. Step 5: Solve for x
    x = 2,293,975,871.79/73,422.78
  6. Step 6: Final answer
    x = 31,243.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.