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Finding the Fourth Proportional to 144,871.62, 217,369.80 and 78,358.56

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Solution

The fourth proportional to 144,871.62, 217,369.80 and 78,358.56 is: 117,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,871.62 : 217,369.80 = 78,358.56 : x
  2. Step 2: Convert to fraction form
    144,871.62/217,369.80 = 78,358.56/x
  3. Step 3: Cross multiply
    144,871.62x = 217,369.80 × 78,358.56
  4. Step 4: Simplify right side
    144,871.62x = 17,032,784,515.49
  5. Step 5: Solve for x
    x = 17,032,784,515.49/144,871.62
  6. Step 6: Final answer
    x = 117,571.57

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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.