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Finding the Fourth Proportional to 72,145, 108,122.46 and 30,540.52

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Solution

The fourth proportional to 72,145, 108,122.46 and 30,540.52 is: 45,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,145 : 108,122.46 = 30,540.52 : x
  2. Step 2: Convert to fraction form
    72,145/108,122.46 = 30,540.52/x
  3. Step 3: Cross multiply
    72,145x = 108,122.46 × 30,540.52
  4. Step 4: Simplify right side
    72,145x = 3,302,116,152.08
  5. Step 5: Solve for x
    x = 3,302,116,152.08/72,145
  6. Step 6: Final answer
    x = 45,770.55

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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.