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Finding the Fourth Proportional to 205,822.32, 308,610.45 and 79,357.67

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Solution

The fourth proportional to 205,822.32, 308,610.45 and 79,357.67 is: 118,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,822.32 : 308,610.45 = 79,357.67 : x
  2. Step 2: Convert to fraction form
    205,822.32/308,610.45 = 79,357.67/x
  3. Step 3: Cross multiply
    205,822.32x = 308,610.45 × 79,357.67
  4. Step 4: Simplify right side
    205,822.32x = 24,490,606,249.65
  5. Step 5: Solve for x
    x = 24,490,606,249.65/205,822.32
  6. Step 6: Final answer
    x = 118,989.07

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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.