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Finding the Fourth Proportional to 243,376.56, 365,063.24 and 99,281.84

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Solution

The fourth proportional to 243,376.56, 365,063.24 and 99,281.84 is: 148,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,376.56 : 365,063.24 = 99,281.84 : x
  2. Step 2: Convert to fraction form
    243,376.56/365,063.24 = 99,281.84/x
  3. Step 3: Cross multiply
    243,376.56x = 365,063.24 × 99,281.84
  4. Step 4: Simplify right side
    243,376.56x = 36,244,150,183.56
  5. Step 5: Solve for x
    x = 36,244,150,183.56/243,376.56
  6. Step 6: Final answer
    x = 148,922.11

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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.