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Finding the Fourth Proportional to 215,881.76, 323,626.62 and 75,563.84

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Solution

The fourth proportional to 215,881.76, 323,626.62 and 75,563.84 is: 113,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,881.76 : 323,626.62 = 75,563.84 : x
  2. Step 2: Convert to fraction form
    215,881.76/323,626.62 = 75,563.84/x
  3. Step 3: Cross multiply
    215,881.76x = 323,626.62 × 75,563.84
  4. Step 4: Simplify right side
    215,881.76x = 24,454,470,133.42
  5. Step 5: Solve for x
    x = 24,454,470,133.42/215,881.76
  6. Step 6: Final answer
    x = 113,277.15

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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.