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Finding the Fourth Proportional to 221,909, 306,234.42 and 121,307.72

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Solution

The fourth proportional to 221,909, 306,234.42 and 121,307.72 is: 167,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,909 : 306,234.42 = 121,307.72 : x
  2. Step 2: Convert to fraction form
    221,909/306,234.42 = 121,307.72/x
  3. Step 3: Cross multiply
    221,909x = 306,234.42 × 121,307.72
  4. Step 4: Simplify right side
    221,909x = 37,148,599,275.72
  5. Step 5: Solve for x
    x = 37,148,599,275.72/221,909
  6. Step 6: Final answer
    x = 167,404.65

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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.