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Finding the Fourth Proportional to 109,876.80, 164,820.60 and 57,388.80

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Solution

The fourth proportional to 109,876.80, 164,820.60 and 57,388.80 is: 86,086.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,876.80 : 164,820.60 = 57,388.80 : x
  2. Step 2: Convert to fraction form
    109,876.80/164,820.60 = 57,388.80/x
  3. Step 3: Cross multiply
    109,876.80x = 164,820.60 × 57,388.80
  4. Step 4: Simplify right side
    109,876.80x = 9,458,856,449.28
  5. Step 5: Solve for x
    x = 9,458,856,449.28/109,876.80
  6. Step 6: Final answer
    x = 86,086.02

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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.