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Finding the Fourth Proportional to 99,957.49, 149,977.68 and 43,768.60

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Solution

The fourth proportional to 99,957.49, 149,977.68 and 43,768.60 is: 65,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,957.49 : 149,977.68 = 43,768.60 : x
  2. Step 2: Convert to fraction form
    99,957.49/149,977.68 = 43,768.60/x
  3. Step 3: Cross multiply
    99,957.49x = 149,977.68 × 43,768.60
  4. Step 4: Simplify right side
    99,957.49x = 6,564,313,084.85
  5. Step 5: Solve for x
    x = 6,564,313,084.85/99,957.49
  6. Step 6: Final answer
    x = 65,671.05

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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.