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Finding the Fourth Proportional to 144,889.20, 217,371.60 and 56,145.60

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Solution

The fourth proportional to 144,889.20, 217,371.60 and 56,145.60 is: 84,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,889.20 : 217,371.60 = 56,145.60 : x
  2. Step 2: Convert to fraction form
    144,889.20/217,371.60 = 56,145.60/x
  3. Step 3: Cross multiply
    144,889.20x = 217,371.60 × 56,145.60
  4. Step 4: Simplify right side
    144,889.20x = 12,204,458,904.96
  5. Step 5: Solve for x
    x = 12,204,458,904.96/144,889.20
  6. Step 6: Final answer
    x = 84,233.05

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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.