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Finding the Fourth Proportional to 205,920.14, 308,807.82 and 61,782.98

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Solution

The fourth proportional to 205,920.14, 308,807.82 and 61,782.98 is: 92,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,920.14 : 308,807.82 = 61,782.98 : x
  2. Step 2: Convert to fraction form
    205,920.14/308,807.82 = 61,782.98/x
  3. Step 3: Cross multiply
    205,920.14x = 308,807.82 × 61,782.98
  4. Step 4: Simplify right side
    205,920.14x = 19,079,067,366.90
  5. Step 5: Solve for x
    x = 19,079,067,366.90/205,920.14
  6. Step 6: Final answer
    x = 92,652.75

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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.