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Finding the Fourth Proportional to 205,792.88, 308,701.24 and 79,433.80

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Solution

The fourth proportional to 205,792.88, 308,701.24 and 79,433.80 is: 119,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,792.88 : 308,701.24 = 79,433.80 : x
  2. Step 2: Convert to fraction form
    205,792.88/308,701.24 = 79,433.80/x
  3. Step 3: Cross multiply
    205,792.88x = 308,701.24 × 79,433.80
  4. Step 4: Simplify right side
    205,792.88x = 24,521,312,557.91
  5. Step 5: Solve for x
    x = 24,521,312,557.91/205,792.88
  6. Step 6: Final answer
    x = 119,155.30

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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.