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Finding the Fourth Proportional to 149,800, 224,765.60 and 70,970.56

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Solution

The fourth proportional to 149,800, 224,765.60 and 70,970.56 is: 106,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,800 : 224,765.60 = 70,970.56 : x
  2. Step 2: Convert to fraction form
    149,800/224,765.60 = 70,970.56/x
  3. Step 3: Cross multiply
    149,800x = 224,765.60 × 70,970.56
  4. Step 4: Simplify right side
    149,800x = 15,951,740,500.74
  5. Step 5: Solve for x
    x = 15,951,740,500.74/149,800
  6. Step 6: Final answer
    x = 106,486.92

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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.