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Finding the Fourth Proportional to 144,182.64, 198,971.64 and 80,520.48

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Solution

The fourth proportional to 144,182.64, 198,971.64 and 80,520.48 is: 111,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,182.64 : 198,971.64 = 80,520.48 : x
  2. Step 2: Convert to fraction form
    144,182.64/198,971.64 = 80,520.48/x
  3. Step 3: Cross multiply
    144,182.64x = 198,971.64 × 80,520.48
  4. Step 4: Simplify right side
    144,182.64x = 16,021,291,959.19
  5. Step 5: Solve for x
    x = 16,021,291,959.19/144,182.64
  6. Step 6: Final answer
    x = 111,118.04

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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.