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Finding the Fourth Proportional to 138,805.44, 208,217.28 and 55,688.64

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Solution

The fourth proportional to 138,805.44, 208,217.28 and 55,688.64 is: 83,536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,805.44 : 208,217.28 = 55,688.64 : x
  2. Step 2: Convert to fraction form
    138,805.44/208,217.28 = 55,688.64/x
  3. Step 3: Cross multiply
    138,805.44x = 208,217.28 × 55,688.64
  4. Step 4: Simplify right side
    138,805.44x = 11,595,337,147.70
  5. Step 5: Solve for x
    x = 11,595,337,147.70/138,805.44
  6. Step 6: Final answer
    x = 83,536.62

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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.