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Finding the Fourth Proportional to 81,473.16, 112,400.46 and 47,476.56

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Solution

The fourth proportional to 81,473.16, 112,400.46 and 47,476.56 is: 65,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,473.16 : 112,400.46 = 47,476.56 : x
  2. Step 2: Convert to fraction form
    81,473.16/112,400.46 = 47,476.56/x
  3. Step 3: Cross multiply
    81,473.16x = 112,400.46 × 47,476.56
  4. Step 4: Simplify right side
    81,473.16x = 5,336,387,183.22
  5. Step 5: Solve for x
    x = 5,336,387,183.22/81,473.16
  6. Step 6: Final answer
    x = 65,498.71

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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.