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Finding the Fourth Proportional to 225,875.58, 311,718.07 and 135,214

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Solution

The fourth proportional to 225,875.58, 311,718.07 and 135,214 is: 186,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,875.58 : 311,718.07 = 135,214 : x
  2. Step 2: Convert to fraction form
    225,875.58/311,718.07 = 135,214/x
  3. Step 3: Cross multiply
    225,875.58x = 311,718.07 × 135,214
  4. Step 4: Simplify right side
    225,875.58x = 42,148,647,116.98
  5. Step 5: Solve for x
    x = 42,148,647,116.98/225,875.58
  6. Step 6: Final answer
    x = 186,601.17

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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.