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Finding the Fourth Proportional to 83,503.52, 125,255.34 and 20,323.64

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Solution

The fourth proportional to 83,503.52, 125,255.34 and 20,323.64 is: 30,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,503.52 : 125,255.34 = 20,323.64 : x
  2. Step 2: Convert to fraction form
    83,503.52/125,255.34 = 20,323.64/x
  3. Step 3: Cross multiply
    83,503.52x = 125,255.34 × 20,323.64
  4. Step 4: Simplify right side
    83,503.52x = 2,545,644,438.24
  5. Step 5: Solve for x
    x = 2,545,644,438.24/83,503.52
  6. Step 6: Final answer
    x = 30,485.47

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1.5x scale

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.