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Finding the Fourth Proportional to 205,709.57, 308,501.45 and 72,558.69

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Solution

The fourth proportional to 205,709.57, 308,501.45 and 72,558.69 is: 108,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,709.57 : 308,501.45 = 72,558.69 : x
  2. Step 2: Convert to fraction form
    205,709.57/308,501.45 = 72,558.69/x
  3. Step 3: Cross multiply
    205,709.57x = 308,501.45 × 72,558.69
  4. Step 4: Simplify right side
    205,709.57x = 22,384,461,256.50
  5. Step 5: Solve for x
    x = 22,384,461,256.50/205,709.57
  6. Step 6: Final answer
    x = 108,815.85

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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.