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Finding the Fourth Proportional to 198,398.79, 273,747.74 and 117,853.47

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Solution

The fourth proportional to 198,398.79, 273,747.74 and 117,853.47 is: 162,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,398.79 : 273,747.74 = 117,853.47 : x
  2. Step 2: Convert to fraction form
    198,398.79/273,747.74 = 117,853.47/x
  3. Step 3: Cross multiply
    198,398.79x = 273,747.74 × 117,853.47
  4. Step 4: Simplify right side
    198,398.79x = 32,262,120,474.39
  5. Step 5: Solve for x
    x = 32,262,120,474.39/198,398.79
  6. Step 6: Final answer
    x = 162,612.49

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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.