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Finding the Fourth Proportional to 229,763.86, 317,071.30 and 129,161.86

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Solution

The fourth proportional to 229,763.86, 317,071.30 and 129,161.86 is: 178,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,763.86 : 317,071.30 = 129,161.86 : x
  2. Step 2: Convert to fraction form
    229,763.86/317,071.30 = 129,161.86/x
  3. Step 3: Cross multiply
    229,763.86x = 317,071.30 × 129,161.86
  4. Step 4: Simplify right side
    229,763.86x = 40,953,518,860.62
  5. Step 5: Solve for x
    x = 40,953,518,860.62/229,763.86
  6. Step 6: Final answer
    x = 178,241.78

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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.