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Finding the Fourth Proportional to 82,259.80, 123,314.10 and 82,209.40

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Solution

The fourth proportional to 82,259.80, 123,314.10 and 82,209.40 is: 123,238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,259.80 : 123,314.10 = 82,209.40 : x
  2. Step 2: Convert to fraction form
    82,259.80/123,314.10 = 82,209.40/x
  3. Step 3: Cross multiply
    82,259.80x = 123,314.10 × 82,209.40
  4. Step 4: Simplify right side
    82,259.80x = 10,137,578,172.54
  5. Step 5: Solve for x
    x = 10,137,578,172.54/82,259.80
  6. Step 6: Final answer
    x = 123,238.55

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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.