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Finding the Fourth Proportional to 205,567.52, 283,661.52 and 120,711.20

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Solution

The fourth proportional to 205,567.52, 283,661.52 and 120,711.20 is: 166,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,567.52 : 283,661.52 = 120,711.20 : x
  2. Step 2: Convert to fraction form
    205,567.52/283,661.52 = 120,711.20/x
  3. Step 3: Cross multiply
    205,567.52x = 283,661.52 × 120,711.20
  4. Step 4: Simplify right side
    205,567.52x = 34,241,122,473.02
  5. Step 5: Solve for x
    x = 34,241,122,473.02/205,567.52
  6. Step 6: Final answer
    x = 166,568.74

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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.