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Finding the Fourth Proportional to 221,419.71, 305,471.25 and 136,389.15

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Solution

The fourth proportional to 221,419.71, 305,471.25 and 136,389.15 is: 188,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,419.71 : 305,471.25 = 136,389.15 : x
  2. Step 2: Convert to fraction form
    221,419.71/305,471.25 = 136,389.15/x
  3. Step 3: Cross multiply
    221,419.71x = 305,471.25 × 136,389.15
  4. Step 4: Simplify right side
    221,419.71x = 41,662,964,136.94
  5. Step 5: Solve for x
    x = 41,662,964,136.94/221,419.71
  6. Step 6: Final answer
    x = 188,162.85

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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.