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Finding the Fourth Proportional to 205,569.36, 308,509.83 and 87,323.67

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Solution

The fourth proportional to 205,569.36, 308,509.83 and 87,323.67 is: 131,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,569.36 : 308,509.83 = 87,323.67 : x
  2. Step 2: Convert to fraction form
    205,569.36/308,509.83 = 87,323.67/x
  3. Step 3: Cross multiply
    205,569.36x = 308,509.83 × 87,323.67
  4. Step 4: Simplify right side
    205,569.36x = 26,940,210,586.68
  5. Step 5: Solve for x
    x = 26,940,210,586.68/205,569.36
  6. Step 6: Final answer
    x = 131,051.68

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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.