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Finding the Fourth Proportional to 144,801.92, 199,826.52 and 80,275.28

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Solution

The fourth proportional to 144,801.92, 199,826.52 and 80,275.28 is: 110,779.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,801.92 : 199,826.52 = 80,275.28 : x
  2. Step 2: Convert to fraction form
    144,801.92/199,826.52 = 80,275.28/x
  3. Step 3: Cross multiply
    144,801.92x = 199,826.52 × 80,275.28
  4. Step 4: Simplify right side
    144,801.92x = 16,041,129,844.43
  5. Step 5: Solve for x
    x = 16,041,129,844.43/144,801.92
  6. Step 6: Final answer
    x = 110,779.81

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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.