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Finding the Fourth Proportional to 83,937.44, 115,583.68 and 82,074.72

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Solution

The fourth proportional to 83,937.44, 115,583.68 and 82,074.72 is: 113,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,937.44 : 115,583.68 = 82,074.72 : x
  2. Step 2: Convert to fraction form
    83,937.44/115,583.68 = 82,074.72/x
  3. Step 3: Cross multiply
    83,937.44x = 115,583.68 × 82,074.72
  4. Step 4: Simplify right side
    83,937.44x = 9,486,498,172.57
  5. Step 5: Solve for x
    x = 9,486,498,172.57/83,937.44
  6. Step 6: Final answer
    x = 113,018.67

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1.5x scale

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.