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Finding the Fourth Proportional to 231,851.80, 347,691.30 and 161,522.20

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Solution

The fourth proportional to 231,851.80, 347,691.30 and 161,522.20 is: 242,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,851.80 : 347,691.30 = 161,522.20 : x
  2. Step 2: Convert to fraction form
    231,851.80/347,691.30 = 161,522.20/x
  3. Step 3: Cross multiply
    231,851.80x = 347,691.30 × 161,522.20
  4. Step 4: Simplify right side
    231,851.80x = 56,159,863,696.86
  5. Step 5: Solve for x
    x = 56,159,863,696.86/231,851.80
  6. Step 6: Final answer
    x = 242,223.11

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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.