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Finding the Fourth Proportional to 217,133.38, 299,643.06 and 121,640.86

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Solution

The fourth proportional to 217,133.38, 299,643.06 and 121,640.86 is: 167,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,133.38 : 299,643.06 = 121,640.86 : x
  2. Step 2: Convert to fraction form
    217,133.38/299,643.06 = 121,640.86/x
  3. Step 3: Cross multiply
    217,133.38x = 299,643.06 × 121,640.86
  4. Step 4: Simplify right side
    217,133.38x = 36,448,839,511.43
  5. Step 5: Solve for x
    x = 36,448,839,511.43/217,133.38
  6. Step 6: Final answer
    x = 167,863.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.