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Finding the Fourth Proportional to 211,272, 316,512.48 and 105,967.68

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Solution

The fourth proportional to 211,272, 316,512.48 and 105,967.68 is: 158,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,272 : 316,512.48 = 105,967.68 : x
  2. Step 2: Convert to fraction form
    211,272/316,512.48 = 105,967.68/x
  3. Step 3: Cross multiply
    211,272x = 316,512.48 × 105,967.68
  4. Step 4: Simplify right side
    211,272x = 33,540,093,196.65
  5. Step 5: Solve for x
    x = 33,540,093,196.65/211,272
  6. Step 6: Final answer
    x = 158,753.14

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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.