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Finding the Fourth Proportional to 53,909.16, 80,863.20 and 38,425.20

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Solution

The fourth proportional to 53,909.16, 80,863.20 and 38,425.20 is: 57,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,909.16 : 80,863.20 = 38,425.20 : x
  2. Step 2: Convert to fraction form
    53,909.16/80,863.20 = 38,425.20/x
  3. Step 3: Cross multiply
    53,909.16x = 80,863.20 × 38,425.20
  4. Step 4: Simplify right side
    53,909.16x = 3,107,184,632.64
  5. Step 5: Solve for x
    x = 3,107,184,632.64/53,909.16
  6. Step 6: Final answer
    x = 57,637.42

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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.