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Finding the Fourth Proportional to 221,381.63, 305,530.17 and 135,390.90

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Solution

The fourth proportional to 221,381.63, 305,530.17 and 135,390.90 is: 186,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,381.63 : 305,530.17 = 135,390.90 : x
  2. Step 2: Convert to fraction form
    221,381.63/305,530.17 = 135,390.90/x
  3. Step 3: Cross multiply
    221,381.63x = 305,530.17 × 135,390.90
  4. Step 4: Simplify right side
    221,381.63x = 41,366,004,693.45
  5. Step 5: Solve for x
    x = 41,366,004,693.45/221,381.63
  6. Step 6: Final answer
    x = 186,853.83

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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.