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Finding the Fourth Proportional to 144,919.48, 217,441.80 and 78,406.48

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Solution

The fourth proportional to 144,919.48, 217,441.80 and 78,406.48 is: 117,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,919.48 : 217,441.80 = 78,406.48 : x
  2. Step 2: Convert to fraction form
    144,919.48/217,441.80 = 78,406.48/x
  3. Step 3: Cross multiply
    144,919.48x = 217,441.80 × 78,406.48
  4. Step 4: Simplify right side
    144,919.48x = 17,048,846,142.86
  5. Step 5: Solve for x
    x = 17,048,846,142.86/144,919.48
  6. Step 6: Final answer
    x = 117,643.58

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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.