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Finding the Fourth Proportional to 205,116.80, 307,804.80 and 120,876.80

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Solution

The fourth proportional to 205,116.80, 307,804.80 and 120,876.80 is: 181,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,116.80 : 307,804.80 = 120,876.80 : x
  2. Step 2: Convert to fraction form
    205,116.80/307,804.80 = 120,876.80/x
  3. Step 3: Cross multiply
    205,116.80x = 307,804.80 × 120,876.80
  4. Step 4: Simplify right side
    205,116.80x = 37,206,459,248.64
  5. Step 5: Solve for x
    x = 37,206,459,248.64/205,116.80
  6. Step 6: Final answer
    x = 181,391.57

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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.