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Finding the Fourth Proportional to 205,509.96, 308,229.30 and 72,358.92

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Solution

The fourth proportional to 205,509.96, 308,229.30 and 72,358.92 is: 108,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,509.96 : 308,229.30 = 72,358.92 : x
  2. Step 2: Convert to fraction form
    205,509.96/308,229.30 = 72,358.92/x
  3. Step 3: Cross multiply
    205,509.96x = 308,229.30 × 72,358.92
  4. Step 4: Simplify right side
    205,509.96x = 22,303,139,260.36
  5. Step 5: Solve for x
    x = 22,303,139,260.36/205,509.96
  6. Step 6: Final answer
    x = 108,525.83

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1.5x scale

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.