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Finding the Fourth Proportional to 54,017.67, 80,971.12 and 20,728.80

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Solution

The fourth proportional to 54,017.67, 80,971.12 and 20,728.80 is: 31,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,017.67 : 80,971.12 = 20,728.80 : x
  2. Step 2: Convert to fraction form
    54,017.67/80,971.12 = 20,728.80/x
  3. Step 3: Cross multiply
    54,017.67x = 80,971.12 × 20,728.80
  4. Step 4: Simplify right side
    54,017.67x = 1,678,434,152.26
  5. Step 5: Solve for x
    x = 1,678,434,152.26/54,017.67
  6. Step 6: Final answer
    x = 31,071.95

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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.