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Finding the Fourth Proportional to 117,393.42, 161,823.17 and 71,987.21

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Solution

The fourth proportional to 117,393.42, 161,823.17 and 71,987.21 is: 99,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,393.42 : 161,823.17 = 71,987.21 : x
  2. Step 2: Convert to fraction form
    117,393.42/161,823.17 = 71,987.21/x
  3. Step 3: Cross multiply
    117,393.42x = 161,823.17 × 71,987.21
  4. Step 4: Simplify right side
    117,393.42x = 11,649,198,499.34
  5. Step 5: Solve for x
    x = 11,649,198,499.34/117,393.42
  6. Step 6: Final answer
    x = 99,232.12

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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.