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Finding the Fourth Proportional to 144,838.80, 217,258.20 and 81,853.20

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Solution

The fourth proportional to 144,838.80, 217,258.20 and 81,853.20 is: 122,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,838.80 : 217,258.20 = 81,853.20 : x
  2. Step 2: Convert to fraction form
    144,838.80/217,258.20 = 81,853.20/x
  3. Step 3: Cross multiply
    144,838.80x = 217,258.20 × 81,853.20
  4. Step 4: Simplify right side
    144,838.80x = 17,783,278,896.24
  5. Step 5: Solve for x
    x = 17,783,278,896.24/144,838.80
  6. Step 6: Final answer
    x = 122,779.80

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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.