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Finding the Fourth Proportional to 99,938.90, 149,735.55 and 47,234.90

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Solution

The fourth proportional to 99,938.90, 149,735.55 and 47,234.90 is: 70,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,938.90 : 149,735.55 = 47,234.90 : x
  2. Step 2: Convert to fraction form
    99,938.90/149,735.55 = 47,234.90/x
  3. Step 3: Cross multiply
    99,938.90x = 149,735.55 × 47,234.90
  4. Step 4: Simplify right side
    99,938.90x = 7,072,743,730.70
  5. Step 5: Solve for x
    x = 7,072,743,730.70/99,938.90
  6. Step 6: Final answer
    x = 70,770.68

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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.