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Finding the Fourth Proportional to 220,806.24, 304,712.16 and 120,204.96

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Solution

The fourth proportional to 220,806.24, 304,712.16 and 120,204.96 is: 165,882.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,806.24 : 304,712.16 = 120,204.96 : x
  2. Step 2: Convert to fraction form
    220,806.24/304,712.16 = 120,204.96/x
  3. Step 3: Cross multiply
    220,806.24x = 304,712.16 × 120,204.96
  4. Step 4: Simplify right side
    220,806.24x = 36,627,913,004.31
  5. Step 5: Solve for x
    x = 36,627,913,004.31/220,806.24
  6. Step 6: Final answer
    x = 165,882.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.