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Finding the Fourth Proportional to 221,771.78, 306,045.14 and 119,797.23

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Solution

The fourth proportional to 221,771.78, 306,045.14 and 119,797.23 is: 165,320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,771.78 : 306,045.14 = 119,797.23 : x
  2. Step 2: Convert to fraction form
    221,771.78/306,045.14 = 119,797.23/x
  3. Step 3: Cross multiply
    221,771.78x = 306,045.14 × 119,797.23
  4. Step 4: Simplify right side
    221,771.78x = 36,663,360,026.96
  5. Step 5: Solve for x
    x = 36,663,360,026.96/221,771.78
  6. Step 6: Final answer
    x = 165,320.22

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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.