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Finding the Fourth Proportional to 55,380, 83,069.22 and 25,781.28

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Solution

The fourth proportional to 55,380, 83,069.22 and 25,781.28 is: 38,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,380 : 83,069.22 = 25,781.28 : x
  2. Step 2: Convert to fraction form
    55,380/83,069.22 = 25,781.28/x
  3. Step 3: Cross multiply
    55,380x = 83,069.22 × 25,781.28
  4. Step 4: Simplify right side
    55,380x = 2,141,630,820.20
  5. Step 5: Solve for x
    x = 2,141,630,820.20/55,380
  6. Step 6: Final answer
    x = 38,671.56

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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.