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Finding the Fourth Proportional to 82,001.40, 123,002.10 and 80,446.20

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Solution

The fourth proportional to 82,001.40, 123,002.10 and 80,446.20 is: 120,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,001.40 : 123,002.10 = 80,446.20 : x
  2. Step 2: Convert to fraction form
    82,001.40/123,002.10 = 80,446.20/x
  3. Step 3: Cross multiply
    82,001.40x = 123,002.10 × 80,446.20
  4. Step 4: Simplify right side
    82,001.40x = 9,895,051,537.02
  5. Step 5: Solve for x
    x = 9,895,051,537.02/82,001.40
  6. Step 6: Final answer
    x = 120,669.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.