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Finding the Fourth Proportional to 205,692, 308,562.48 and 72,544.64

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Solution

The fourth proportional to 205,692, 308,562.48 and 72,544.64 is: 108,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,692 : 308,562.48 = 72,544.64 : x
  2. Step 2: Convert to fraction form
    205,692/308,562.48 = 72,544.64/x
  3. Step 3: Cross multiply
    205,692x = 308,562.48 × 72,544.64
  4. Step 4: Simplify right side
    205,692x = 22,384,554,029.11
  5. Step 5: Solve for x
    x = 22,384,554,029.11/205,692
  6. Step 6: Final answer
    x = 108,825.59

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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.