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Finding the Fourth Proportional to 215,948, 298,048.56 and 126,524

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Solution

The fourth proportional to 215,948, 298,048.56 and 126,524 is: 174,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,948 : 298,048.56 = 126,524 : x
  2. Step 2: Convert to fraction form
    215,948/298,048.56 = 126,524/x
  3. Step 3: Cross multiply
    215,948x = 298,048.56 × 126,524
  4. Step 4: Simplify right side
    215,948x = 37,710,296,005.44
  5. Step 5: Solve for x
    x = 37,710,296,005.44/215,948
  6. Step 6: Final answer
    x = 174,626.74

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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.