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Finding the Fourth Proportional to 55,207.42, 82,690.44 and 42,694.54

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Solution

The fourth proportional to 55,207.42, 82,690.44 and 42,694.54 is: 63,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,207.42 : 82,690.44 = 42,694.54 : x
  2. Step 2: Convert to fraction form
    55,207.42/82,690.44 = 42,694.54/x
  3. Step 3: Cross multiply
    55,207.42x = 82,690.44 × 42,694.54
  4. Step 4: Simplify right side
    55,207.42x = 3,530,430,298.20
  5. Step 5: Solve for x
    x = 3,530,430,298.20/55,207.42
  6. Step 6: Final answer
    x = 63,948.47

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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.