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Finding the Fourth Proportional to 205,813.49, 308,542.81 and 79,542.32

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Solution

The fourth proportional to 205,813.49, 308,542.81 and 79,542.32 is: 119,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,813.49 : 308,542.81 = 79,542.32 : x
  2. Step 2: Convert to fraction form
    205,813.49/308,542.81 = 79,542.32/x
  3. Step 3: Cross multiply
    205,813.49x = 308,542.81 × 79,542.32
  4. Step 4: Simplify right side
    205,813.49x = 24,542,209,956.51
  5. Step 5: Solve for x
    x = 24,542,209,956.51/205,813.49
  6. Step 6: Final answer
    x = 119,244.91

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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.