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Finding the Fourth Proportional to 144,960.68, 217,231.16 and 99,935.82

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Solution

The fourth proportional to 144,960.68, 217,231.16 and 99,935.82 is: 149,759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,960.68 : 217,231.16 = 99,935.82 : x
  2. Step 2: Convert to fraction form
    144,960.68/217,231.16 = 99,935.82/x
  3. Step 3: Cross multiply
    144,960.68x = 217,231.16 × 99,935.82
  4. Step 4: Simplify right side
    144,960.68x = 21,709,174,104.15
  5. Step 5: Solve for x
    x = 21,709,174,104.15/144,960.68
  6. Step 6: Final answer
    x = 149,759.05

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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.