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Finding the Fourth Proportional to 144,651.20, 217,009.20 and 55,896.80

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Solution

The fourth proportional to 144,651.20, 217,009.20 and 55,896.80 is: 83,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,651.20 : 217,009.20 = 55,896.80 : x
  2. Step 2: Convert to fraction form
    144,651.20/217,009.20 = 55,896.80/x
  3. Step 3: Cross multiply
    144,651.20x = 217,009.20 × 55,896.80
  4. Step 4: Simplify right side
    144,651.20x = 12,130,119,850.56
  5. Step 5: Solve for x
    x = 12,130,119,850.56/144,651.20
  6. Step 6: Final answer
    x = 83,857.72

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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.