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Finding the Fourth Proportional to 83,424.90, 115,128.22 and 47,614.20

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Solution

The fourth proportional to 83,424.90, 115,128.22 and 47,614.20 is: 65,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,424.90 : 115,128.22 = 47,614.20 : x
  2. Step 2: Convert to fraction form
    83,424.90/115,128.22 = 47,614.20/x
  3. Step 3: Cross multiply
    83,424.90x = 115,128.22 × 47,614.20
  4. Step 4: Simplify right side
    83,424.90x = 5,481,738,092.72
  5. Step 5: Solve for x
    x = 5,481,738,092.72/83,424.90
  6. Step 6: Final answer
    x = 65,708.66

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1.5x scale

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.