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Finding the Fourth Proportional to 83,843.52, 115,752 and 55,587.60

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Solution

The fourth proportional to 83,843.52, 115,752 and 55,587.60 is: 76,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.52 : 115,752 = 55,587.60 : x
  2. Step 2: Convert to fraction form
    83,843.52/115,752 = 55,587.60/x
  3. Step 3: Cross multiply
    83,843.52x = 115,752 × 55,587.60
  4. Step 4: Simplify right side
    83,843.52x = 6,434,375,875.20
  5. Step 5: Solve for x
    x = 6,434,375,875.20/83,843.52
  6. Step 6: Final answer
    x = 76,742.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.