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Finding the Fourth Proportional to 217,851.67, 326,832.96 and 127,970.41

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Solution

The fourth proportional to 217,851.67, 326,832.96 and 127,970.41 is: 191,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,851.67 : 326,832.96 = 127,970.41 : x
  2. Step 2: Convert to fraction form
    217,851.67/326,832.96 = 127,970.41/x
  3. Step 3: Cross multiply
    217,851.67x = 326,832.96 × 127,970.41
  4. Step 4: Simplify right side
    217,851.67x = 41,824,947,892.71
  5. Step 5: Solve for x
    x = 41,824,947,892.71/217,851.67
  6. Step 6: Final answer
    x = 191,988.19

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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.