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Finding the Fourth Proportional to 211,286.88, 316,980 and 92,967.84

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Solution

The fourth proportional to 211,286.88, 316,980 and 92,967.84 is: 139,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,286.88 : 316,980 = 92,967.84 : x
  2. Step 2: Convert to fraction form
    211,286.88/316,980 = 92,967.84/x
  3. Step 3: Cross multiply
    211,286.88x = 316,980 × 92,967.84
  4. Step 4: Simplify right side
    211,286.88x = 29,468,945,923.20
  5. Step 5: Solve for x
    x = 29,468,945,923.20/211,286.88
  6. Step 6: Final answer
    x = 139,473.62

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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.