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Finding the Fourth Proportional to 215,712, 323,631.84 and 110,604.72

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Solution

The fourth proportional to 215,712, 323,631.84 and 110,604.72 is: 165,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,712 : 323,631.84 = 110,604.72 : x
  2. Step 2: Convert to fraction form
    215,712/323,631.84 = 110,604.72/x
  3. Step 3: Cross multiply
    215,712x = 323,631.84 × 110,604.72
  4. Step 4: Simplify right side
    215,712x = 35,795,209,046.28
  5. Step 5: Solve for x
    x = 35,795,209,046.28/215,712
  6. Step 6: Final answer
    x = 165,939.81

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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.