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Finding the Fourth Proportional to 55,291.60, 82,927.80 and 20,213.20

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Solution

The fourth proportional to 55,291.60, 82,927.80 and 20,213.20 is: 30,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,291.60 : 82,927.80 = 20,213.20 : x
  2. Step 2: Convert to fraction form
    55,291.60/82,927.80 = 20,213.20/x
  3. Step 3: Cross multiply
    55,291.60x = 82,927.80 × 20,213.20
  4. Step 4: Simplify right side
    55,291.60x = 1,676,236,206.96
  5. Step 5: Solve for x
    x = 1,676,236,206.96/55,291.60
  6. Step 6: Final answer
    x = 30,316.29

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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.