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Finding the Fourth Proportional to 83,866.20, 115,712.46 and 58,343.91

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Solution

The fourth proportional to 83,866.20, 115,712.46 and 58,343.91 is: 80,498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,866.20 : 115,712.46 = 58,343.91 : x
  2. Step 2: Convert to fraction form
    83,866.20/115,712.46 = 58,343.91/x
  3. Step 3: Cross multiply
    83,866.20x = 115,712.46 × 58,343.91
  4. Step 4: Simplify right side
    83,866.20x = 6,751,117,352.12
  5. Step 5: Solve for x
    x = 6,751,117,352.12/83,866.20
  6. Step 6: Final answer
    x = 80,498.67

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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.