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Finding the Fourth Proportional to 215,963.74, 298,031.90 and 119,171.90

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Solution

The fourth proportional to 215,963.74, 298,031.90 and 119,171.90 is: 164,458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,963.74 : 298,031.90 = 119,171.90 : x
  2. Step 2: Convert to fraction form
    215,963.74/298,031.90 = 119,171.90/x
  3. Step 3: Cross multiply
    215,963.74x = 298,031.90 × 119,171.90
  4. Step 4: Simplify right side
    215,963.74x = 35,517,027,783.61
  5. Step 5: Solve for x
    x = 35,517,027,783.61/215,963.74
  6. Step 6: Final answer
    x = 164,458.29

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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.