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Finding the Fourth Proportional to 287,107.52, 430,661.43 and 129,151.44

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Solution

The fourth proportional to 287,107.52, 430,661.43 and 129,151.44 is: 193,727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,107.52 : 430,661.43 = 129,151.44 : x
  2. Step 2: Convert to fraction form
    287,107.52/430,661.43 = 129,151.44/x
  3. Step 3: Cross multiply
    287,107.52x = 430,661.43 × 129,151.44
  4. Step 4: Simplify right side
    287,107.52x = 55,620,543,836.96
  5. Step 5: Solve for x
    x = 55,620,543,836.96/287,107.52
  6. Step 6: Final answer
    x = 193,727.23

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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.