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Finding the Fourth Proportional to 82,701.54, 114,139 and 80,449.84

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Solution

The fourth proportional to 82,701.54, 114,139 and 80,449.84 is: 111,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,701.54 : 114,139 = 80,449.84 : x
  2. Step 2: Convert to fraction form
    82,701.54/114,139 = 80,449.84/x
  3. Step 3: Cross multiply
    82,701.54x = 114,139 × 80,449.84
  4. Step 4: Simplify right side
    82,701.54x = 9,182,464,287.76
  5. Step 5: Solve for x
    x = 9,182,464,287.76/82,701.54
  6. Step 6: Final answer
    x = 111,031.36

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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.