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Finding the Fourth Proportional to 229,704.50, 316,992.22 and 129,102.50

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Solution

The fourth proportional to 229,704.50, 316,992.22 and 129,102.50 is: 178,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,704.50 : 316,992.22 = 129,102.50 : x
  2. Step 2: Convert to fraction form
    229,704.50/316,992.22 = 129,102.50/x
  3. Step 3: Cross multiply
    229,704.50x = 316,992.22 × 129,102.50
  4. Step 4: Simplify right side
    229,704.50x = 40,924,488,082.55
  5. Step 5: Solve for x
    x = 40,924,488,082.55/229,704.50
  6. Step 6: Final answer
    x = 178,161.46

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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.