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Finding the Fourth Proportional to 205,877.92, 308,829.12 and 79,519.12

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Solution

The fourth proportional to 205,877.92, 308,829.12 and 79,519.12 is: 119,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,877.92 : 308,829.12 = 79,519.12 : x
  2. Step 2: Convert to fraction form
    205,877.92/308,829.12 = 79,519.12/x
  3. Step 3: Cross multiply
    205,877.92x = 308,829.12 × 79,519.12
  4. Step 4: Simplify right side
    205,877.92x = 24,557,819,852.77
  5. Step 5: Solve for x
    x = 24,557,819,852.77/205,877.92
  6. Step 6: Final answer
    x = 119,283.41

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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.