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Finding the Fourth Proportional to 36,201.20, 54,301.80 and 31,827.20

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Solution

The fourth proportional to 36,201.20, 54,301.80 and 31,827.20 is: 47,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,201.20 : 54,301.80 = 31,827.20 : x
  2. Step 2: Convert to fraction form
    36,201.20/54,301.80 = 31,827.20/x
  3. Step 3: Cross multiply
    36,201.20x = 54,301.80 × 31,827.20
  4. Step 4: Simplify right side
    36,201.20x = 1,728,274,248.96
  5. Step 5: Solve for x
    x = 1,728,274,248.96/36,201.20
  6. Step 6: Final answer
    x = 47,740.80

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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.