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Finding the Fourth Proportional to 53,832.80, 80,712.70 and 30,156.64

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Solution

The fourth proportional to 53,832.80, 80,712.70 and 30,156.64 is: 45,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,832.80 : 80,712.70 = 30,156.64 : x
  2. Step 2: Convert to fraction form
    53,832.80/80,712.70 = 30,156.64/x
  3. Step 3: Cross multiply
    53,832.80x = 80,712.70 × 30,156.64
  4. Step 4: Simplify right side
    53,832.80x = 2,434,023,837.33
  5. Step 5: Solve for x
    x = 2,434,023,837.33/53,832.80
  6. Step 6: Final answer
    x = 45,214.51

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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.