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Finding the Fourth Proportional to 81,120.91, 111,946.21 and 47,149.29

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Solution

The fourth proportional to 81,120.91, 111,946.21 and 47,149.29 is: 65,065.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,120.91 : 111,946.21 = 47,149.29 : x
  2. Step 2: Convert to fraction form
    81,120.91/111,946.21 = 47,149.29/x
  3. Step 3: Cross multiply
    81,120.91x = 111,946.21 × 47,149.29
  4. Step 4: Simplify right side
    81,120.91x = 5,278,184,319.69
  5. Step 5: Solve for x
    x = 5,278,184,319.69/81,120.91
  6. Step 6: Final answer
    x = 65,065.64

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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.