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Finding the Fourth Proportional to 217,663.75, 300,394.85 and 120,886.28

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Solution

The fourth proportional to 217,663.75, 300,394.85 and 120,886.28 is: 166,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,663.75 : 300,394.85 = 120,886.28 : x
  2. Step 2: Convert to fraction form
    217,663.75/300,394.85 = 120,886.28/x
  3. Step 3: Cross multiply
    217,663.75x = 300,394.85 × 120,886.28
  4. Step 4: Simplify right side
    217,663.75x = 36,313,615,947.66
  5. Step 5: Solve for x
    x = 36,313,615,947.66/217,663.75
  6. Step 6: Final answer
    x = 166,833.55

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1.5x scale

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.