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Finding the Fourth Proportional to 200,335, 276,462.84 and 109,691.68

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Solution

The fourth proportional to 200,335, 276,462.84 and 109,691.68 is: 151,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,335 : 276,462.84 = 109,691.68 : x
  2. Step 2: Convert to fraction form
    200,335/276,462.84 = 109,691.68/x
  3. Step 3: Cross multiply
    200,335x = 276,462.84 × 109,691.68
  4. Step 4: Simplify right side
    200,335x = 30,325,673,377.17
  5. Step 5: Solve for x
    x = 30,325,673,377.17/200,335
  6. Step 6: Final answer
    x = 151,374.81

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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.