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Finding the Fourth Proportional to 221,955.84, 332,979.84 and 74,208

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Solution

The fourth proportional to 221,955.84, 332,979.84 and 74,208 is: 111,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,955.84 : 332,979.84 = 74,208 : x
  2. Step 2: Convert to fraction form
    221,955.84/332,979.84 = 74,208/x
  3. Step 3: Cross multiply
    221,955.84x = 332,979.84 × 74,208
  4. Step 4: Simplify right side
    221,955.84x = 24,709,767,966.72
  5. Step 5: Solve for x
    x = 24,709,767,966.72/221,955.84
  6. Step 6: Final answer
    x = 111,327.41

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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.