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Finding the Fourth Proportional to 117,394.18, 161,824.21 and 71,987.96

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Solution

The fourth proportional to 117,394.18, 161,824.21 and 71,987.96 is: 99,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,394.18 : 161,824.21 = 71,987.96 : x
  2. Step 2: Convert to fraction form
    117,394.18/161,824.21 = 71,987.96/x
  3. Step 3: Cross multiply
    117,394.18x = 161,824.21 × 71,987.96
  4. Step 4: Simplify right side
    117,394.18x = 11,649,394,981.10
  5. Step 5: Solve for x
    x = 11,649,394,981.10/117,394.18
  6. Step 6: Final answer
    x = 99,233.16

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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.