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Finding the Fourth Proportional to 205,136.59, 307,842.33 and 72,017.24

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Solution

The fourth proportional to 205,136.59, 307,842.33 and 72,017.24 is: 108,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,136.59 : 307,842.33 = 72,017.24 : x
  2. Step 2: Convert to fraction form
    205,136.59/307,842.33 = 72,017.24/x
  3. Step 3: Cross multiply
    205,136.59x = 307,842.33 × 72,017.24
  4. Step 4: Simplify right side
    205,136.59x = 22,169,954,961.77
  5. Step 5: Solve for x
    x = 22,169,954,961.77/205,136.59
  6. Step 6: Final answer
    x = 108,074.11

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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.