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Finding the Fourth Proportional to 205,810.72, 308,538.64 and 79,539.57

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Solution

The fourth proportional to 205,810.72, 308,538.64 and 79,539.57 is: 119,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,810.72 : 308,538.64 = 79,539.57 : x
  2. Step 2: Convert to fraction form
    205,810.72/308,538.64 = 79,539.57/x
  3. Step 3: Cross multiply
    205,810.72x = 308,538.64 × 79,539.57
  4. Step 4: Simplify right side
    205,810.72x = 24,541,030,406.00
  5. Step 5: Solve for x
    x = 24,541,030,406.00/205,810.72
  6. Step 6: Final answer
    x = 119,240.78

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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.