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Finding the Fourth Proportional to 99,952.20, 149,906.70 and 43,792.20

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Solution

The fourth proportional to 99,952.20, 149,906.70 and 43,792.20 is: 65,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,952.20 : 149,906.70 = 43,792.20 : x
  2. Step 2: Convert to fraction form
    99,952.20/149,906.70 = 43,792.20/x
  3. Step 3: Cross multiply
    99,952.20x = 149,906.70 × 43,792.20
  4. Step 4: Simplify right side
    99,952.20x = 6,564,744,187.74
  5. Step 5: Solve for x
    x = 6,564,744,187.74/99,952.20
  6. Step 6: Final answer
    x = 65,678.84

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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.