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Finding the Fourth Proportional to 212,822.82, 319,249.62 and 61,017.66

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Solution

The fourth proportional to 212,822.82, 319,249.62 and 61,017.66 is: 91,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,822.82 : 319,249.62 = 61,017.66 : x
  2. Step 2: Convert to fraction form
    212,822.82/319,249.62 = 61,017.66/x
  3. Step 3: Cross multiply
    212,822.82x = 319,249.62 × 61,017.66
  4. Step 4: Simplify right side
    212,822.82x = 19,479,864,768.29
  5. Step 5: Solve for x
    x = 19,479,864,768.29/212,822.82
  6. Step 6: Final answer
    x = 91,530.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.