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Finding the Fourth Proportional to 82,259.50, 123,389.26 and 26,855.50

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Solution

The fourth proportional to 82,259.50, 123,389.26 and 26,855.50 is: 40,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,259.50 : 123,389.26 = 26,855.50 : x
  2. Step 2: Convert to fraction form
    82,259.50/123,389.26 = 26,855.50/x
  3. Step 3: Cross multiply
    82,259.50x = 123,389.26 × 26,855.50
  4. Step 4: Simplify right side
    82,259.50x = 3,313,680,271.93
  5. Step 5: Solve for x
    x = 3,313,680,271.93/82,259.50
  6. Step 6: Final answer
    x = 40,283.25

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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.