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Finding the Fourth Proportional to 82,209.40, 123,314.10 and 81,431.80

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Solution

The fourth proportional to 82,209.40, 123,314.10 and 81,431.80 is: 122,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,209.40 : 123,314.10 = 81,431.80 : x
  2. Step 2: Convert to fraction form
    82,209.40/123,314.10 = 81,431.80/x
  3. Step 3: Cross multiply
    82,209.40x = 123,314.10 × 81,431.80
  4. Step 4: Simplify right side
    82,209.40x = 10,041,689,128.38
  5. Step 5: Solve for x
    x = 10,041,689,128.38/82,209.40
  6. Step 6: Final answer
    x = 122,147.70

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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.