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Finding the Fourth Proportional to 144,867.61, 217,361.21 and 78,229.27

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Solution

The fourth proportional to 144,867.61, 217,361.21 and 78,229.27 is: 117,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,867.61 : 217,361.21 = 78,229.27 : x
  2. Step 2: Convert to fraction form
    144,867.61/217,361.21 = 78,229.27/x
  3. Step 3: Cross multiply
    144,867.61x = 217,361.21 × 78,229.27
  4. Step 4: Simplify right side
    144,867.61x = 17,004,008,665.17
  5. Step 5: Solve for x
    x = 17,004,008,665.17/144,867.61
  6. Step 6: Final answer
    x = 117,376.19

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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.