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Finding the Fourth Proportional to 81,080.77, 111,915 and 47,096.95

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Solution

The fourth proportional to 81,080.77, 111,915 and 47,096.95 is: 65,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,080.77 : 111,915 = 47,096.95 : x
  2. Step 2: Convert to fraction form
    81,080.77/111,915 = 47,096.95/x
  3. Step 3: Cross multiply
    81,080.77x = 111,915 × 47,096.95
  4. Step 4: Simplify right side
    81,080.77x = 5,270,855,159.25
  5. Step 5: Solve for x
    x = 5,270,855,159.25/81,080.77
  6. Step 6: Final answer
    x = 65,007.46

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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.