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Finding the Fourth Proportional to 212,694, 319,092.84 and 64,950

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Solution

The fourth proportional to 212,694, 319,092.84 and 64,950 is: 97,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,694 : 319,092.84 = 64,950 : x
  2. Step 2: Convert to fraction form
    212,694/319,092.84 = 64,950/x
  3. Step 3: Cross multiply
    212,694x = 319,092.84 × 64,950
  4. Step 4: Simplify right side
    212,694x = 20,725,079,958
  5. Step 5: Solve for x
    x = 20,725,079,958/212,694
  6. Step 6: Final answer
    x = 97,440.83

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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.