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Finding the Fourth Proportional to 144,630.64, 217,099.32 and 128,098

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Solution

The fourth proportional to 144,630.64, 217,099.32 and 128,098 is: 192,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,630.64 : 217,099.32 = 128,098 : x
  2. Step 2: Convert to fraction form
    144,630.64/217,099.32 = 128,098/x
  3. Step 3: Cross multiply
    144,630.64x = 217,099.32 × 128,098
  4. Step 4: Simplify right side
    144,630.64x = 27,809,988,693.36
  5. Step 5: Solve for x
    x = 27,809,988,693.36/144,630.64
  6. Step 6: Final answer
    x = 192,282.83

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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.