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Finding the Fourth Proportional to 144,694.53, 217,039.77 and 87,782.00

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Solution

The fourth proportional to 144,694.53, 217,039.77 and 87,782.00 is: 131,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,694.53 : 217,039.77 = 87,782.00 : x
  2. Step 2: Convert to fraction form
    144,694.53/217,039.77 = 87,782.00/x
  3. Step 3: Cross multiply
    144,694.53x = 217,039.77 × 87,782.00
  4. Step 4: Simplify right side
    144,694.53x = 19,052,184,004.94
  5. Step 5: Solve for x
    x = 19,052,184,004.94/144,694.53
  6. Step 6: Final answer
    x = 131,671.76

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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.