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Finding the Fourth Proportional to 78,161.47, 107,862.92 and 42,351.47

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Solution

The fourth proportional to 78,161.47, 107,862.92 and 42,351.47 is: 58,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,161.47 : 107,862.92 = 42,351.47 : x
  2. Step 2: Convert to fraction form
    78,161.47/107,862.92 = 42,351.47/x
  3. Step 3: Cross multiply
    78,161.47x = 107,862.92 × 42,351.47
  4. Step 4: Simplify right side
    78,161.47x = 4,568,152,469.42
  5. Step 5: Solve for x
    x = 4,568,152,469.42/78,161.47
  6. Step 6: Final answer
    x = 58,445.07

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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.