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Finding the Fourth Proportional to 205,687.85, 308,562.56 and 65,477.93

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Solution

The fourth proportional to 205,687.85, 308,562.56 and 65,477.93 is: 98,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,687.85 : 308,562.56 = 65,477.93 : x
  2. Step 2: Convert to fraction form
    205,687.85/308,562.56 = 65,477.93/x
  3. Step 3: Cross multiply
    205,687.85x = 308,562.56 × 65,477.93
  4. Step 4: Simplify right side
    205,687.85x = 20,204,037,376.91
  5. Step 5: Solve for x
    x = 20,204,037,376.91/205,687.85
  6. Step 6: Final answer
    x = 98,226.69

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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.