Home / 205,734.72-283,916.16-120,855.36

Finding the Fourth Proportional to 205,734.72, 283,916.16 and 120,855.36

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Solution

The fourth proportional to 205,734.72, 283,916.16 and 120,855.36 is: 166,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,734.72 : 283,916.16 = 120,855.36 : x
  2. Step 2: Convert to fraction form
    205,734.72/283,916.16 = 120,855.36/x
  3. Step 3: Cross multiply
    205,734.72x = 283,916.16 × 120,855.36
  4. Step 4: Simplify right side
    205,734.72x = 34,312,789,726.62
  5. Step 5: Solve for x
    x = 34,312,789,726.62/205,734.72
  6. Step 6: Final answer
    x = 166,781.72

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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.