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Finding the Fourth Proportional to 55,271.20, 82,939.20 and 20,214.40

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Solution

The fourth proportional to 55,271.20, 82,939.20 and 20,214.40 is: 30,333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,271.20 : 82,939.20 = 20,214.40 : x
  2. Step 2: Convert to fraction form
    55,271.20/82,939.20 = 20,214.40/x
  3. Step 3: Cross multiply
    55,271.20x = 82,939.20 × 20,214.40
  4. Step 4: Simplify right side
    55,271.20x = 1,676,566,164.48
  5. Step 5: Solve for x
    x = 1,676,566,164.48/55,271.20
  6. Step 6: Final answer
    x = 30,333.45

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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.