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Finding the Fourth Proportional to 82,164.70, 123,087.15 and 53,999.80

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Solution

The fourth proportional to 82,164.70, 123,087.15 and 53,999.80 is: 80,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,164.70 : 123,087.15 = 53,999.80 : x
  2. Step 2: Convert to fraction form
    82,164.70/123,087.15 = 53,999.80/x
  3. Step 3: Cross multiply
    82,164.70x = 123,087.15 × 53,999.80
  4. Step 4: Simplify right side
    82,164.70x = 6,646,681,482.57
  5. Step 5: Solve for x
    x = 6,646,681,482.57/82,164.70
  6. Step 6: Final answer
    x = 80,894.61

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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.