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Finding the Fourth Proportional to 99,224, 136,890.12 and 56,759.84

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Solution

The fourth proportional to 99,224, 136,890.12 and 56,759.84 is: 78,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,224 : 136,890.12 = 56,759.84 : x
  2. Step 2: Convert to fraction form
    99,224/136,890.12 = 56,759.84/x
  3. Step 3: Cross multiply
    99,224x = 136,890.12 × 56,759.84
  4. Step 4: Simplify right side
    99,224x = 7,769,861,308.78
  5. Step 5: Solve for x
    x = 7,769,861,308.78/99,224
  6. Step 6: Final answer
    x = 78,306.27

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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.