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Finding the Fourth Proportional to 99,908.54, 149,936.70 and 47,318.12

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Solution

The fourth proportional to 99,908.54, 149,936.70 and 47,318.12 is: 71,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,908.54 : 149,936.70 = 47,318.12 : x
  2. Step 2: Convert to fraction form
    99,908.54/149,936.70 = 47,318.12/x
  3. Step 3: Cross multiply
    99,908.54x = 149,936.70 × 47,318.12
  4. Step 4: Simplify right side
    99,908.54x = 7,094,722,763.00
  5. Step 5: Solve for x
    x = 7,094,722,763.00/99,908.54
  6. Step 6: Final answer
    x = 71,012.18

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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.