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Finding the Fourth Proportional to 144,111.60, 198,853.44 and 80,448

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Solution

The fourth proportional to 144,111.60, 198,853.44 and 80,448 is: 111,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,111.60 : 198,853.44 = 80,448 : x
  2. Step 2: Convert to fraction form
    144,111.60/198,853.44 = 80,448/x
  3. Step 3: Cross multiply
    144,111.60x = 198,853.44 × 80,448
  4. Step 4: Simplify right side
    144,111.60x = 15,997,361,541.12
  5. Step 5: Solve for x
    x = 15,997,361,541.12/144,111.60
  6. Step 6: Final answer
    x = 111,006.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.