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Finding the Fourth Proportional to 205,898.96, 308,839.33 and 56,139.28

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Solution

The fourth proportional to 205,898.96, 308,839.33 and 56,139.28 is: 84,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,898.96 : 308,839.33 = 56,139.28 : x
  2. Step 2: Convert to fraction form
    205,898.96/308,839.33 = 56,139.28/x
  3. Step 3: Cross multiply
    205,898.96x = 308,839.33 × 56,139.28
  4. Step 4: Simplify right side
    205,898.96x = 17,338,016,919.96
  5. Step 5: Solve for x
    x = 17,338,016,919.96/205,898.96
  6. Step 6: Final answer
    x = 84,206.43

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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.