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Finding the Fourth Proportional to 215,862, 297,889.56 and 126,438

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Solution

The fourth proportional to 215,862, 297,889.56 and 126,438 is: 174,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,862 : 297,889.56 = 126,438 : x
  2. Step 2: Convert to fraction form
    215,862/297,889.56 = 126,438/x
  3. Step 3: Cross multiply
    215,862x = 297,889.56 × 126,438
  4. Step 4: Simplify right side
    215,862x = 37,664,560,187.28
  5. Step 5: Solve for x
    x = 37,664,560,187.28/215,862
  6. Step 6: Final answer
    x = 174,484.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.