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Finding the Fourth Proportional to 211,086.70, 316,630.05 and 105,867.70

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Solution

The fourth proportional to 211,086.70, 316,630.05 and 105,867.70 is: 158,801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,086.70 : 316,630.05 = 105,867.70 : x
  2. Step 2: Convert to fraction form
    211,086.70/316,630.05 = 105,867.70/x
  3. Step 3: Cross multiply
    211,086.70x = 316,630.05 × 105,867.70
  4. Step 4: Simplify right side
    211,086.70x = 33,520,895,144.39
  5. Step 5: Solve for x
    x = 33,520,895,144.39/211,086.70
  6. Step 6: Final answer
    x = 158,801.55

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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.