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Finding the Fourth Proportional to 82,001.80, 113,224.80 and 80,694.40

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Solution

The fourth proportional to 82,001.80, 113,224.80 and 80,694.40 is: 111,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,001.80 : 113,224.80 = 80,694.40 : x
  2. Step 2: Convert to fraction form
    82,001.80/113,224.80 = 80,694.40/x
  3. Step 3: Cross multiply
    82,001.80x = 113,224.80 × 80,694.40
  4. Step 4: Simplify right side
    82,001.80x = 9,136,607,301.12
  5. Step 5: Solve for x
    x = 9,136,607,301.12/82,001.80
  6. Step 6: Final answer
    x = 111,419.59

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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.