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Finding the Fourth Proportional to 221,886, 332,829 and 74,142

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Solution

The fourth proportional to 221,886, 332,829 and 74,142 is: 111,213

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,886 : 332,829 = 74,142 : x
  2. Step 2: Convert to fraction form
    221,886/332,829 = 74,142/x
  3. Step 3: Cross multiply
    221,886x = 332,829 × 74,142
  4. Step 4: Simplify right side
    221,886x = 24,676,607,718
  5. Step 5: Solve for x
    x = 24,676,607,718/221,886
  6. Step 6: Final answer
    x = 111,213

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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.