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Finding the Fourth Proportional to 211,002.44, 316,531.45 and 68,797.78

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Solution

The fourth proportional to 211,002.44, 316,531.45 and 68,797.78 is: 103,205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,002.44 : 316,531.45 = 68,797.78 : x
  2. Step 2: Convert to fraction form
    211,002.44/316,531.45 = 68,797.78/x
  3. Step 3: Cross multiply
    211,002.44x = 316,531.45 × 68,797.78
  4. Step 4: Simplify right side
    211,002.44x = 21,776,661,060.18
  5. Step 5: Solve for x
    x = 21,776,661,060.18/211,002.44
  6. Step 6: Final answer
    x = 103,205.73

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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.