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Finding the Fourth Proportional to 207,971.16, 287,002.99 and 117,326.85

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Solution

The fourth proportional to 207,971.16, 287,002.99 and 117,326.85 is: 161,912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,971.16 : 287,002.99 = 117,326.85 : x
  2. Step 2: Convert to fraction form
    207,971.16/287,002.99 = 117,326.85/x
  3. Step 3: Cross multiply
    207,971.16x = 287,002.99 × 117,326.85
  4. Step 4: Simplify right side
    207,971.16x = 33,673,156,757.28
  5. Step 5: Solve for x
    x = 33,673,156,757.28/207,971.16
  6. Step 6: Final answer
    x = 161,912.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.