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Finding the Fourth Proportional to 113,620.80, 170,478 and 47,074.32

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Solution

The fourth proportional to 113,620.80, 170,478 and 47,074.32 is: 70,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,620.80 : 170,478 = 47,074.32 : x
  2. Step 2: Convert to fraction form
    113,620.80/170,478 = 47,074.32/x
  3. Step 3: Cross multiply
    113,620.80x = 170,478 × 47,074.32
  4. Step 4: Simplify right side
    113,620.80x = 8,025,135,924.96
  5. Step 5: Solve for x
    x = 8,025,135,924.96/113,620.80
  6. Step 6: Final answer
    x = 70,630.87

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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.