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Finding the Fourth Proportional to 223,530.57, 335,294.84 and 90,409.17

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Solution

The fourth proportional to 223,530.57, 335,294.84 and 90,409.17 is: 135,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,530.57 : 335,294.84 = 90,409.17 : x
  2. Step 2: Convert to fraction form
    223,530.57/335,294.84 = 90,409.17/x
  3. Step 3: Cross multiply
    223,530.57x = 335,294.84 × 90,409.17
  4. Step 4: Simplify right side
    223,530.57x = 30,313,727,737.64
  5. Step 5: Solve for x
    x = 30,313,727,737.64/223,530.57
  6. Step 6: Final answer
    x = 135,613.34

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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.