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Finding the Fourth Proportional to 83,978.58, 125,985.65 and 27,815.51

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Solution

The fourth proportional to 83,978.58, 125,985.65 and 27,815.51 is: 41,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,978.58 : 125,985.65 = 27,815.51 : x
  2. Step 2: Convert to fraction form
    83,978.58/125,985.65 = 27,815.51/x
  3. Step 3: Cross multiply
    83,978.58x = 125,985.65 × 27,815.51
  4. Step 4: Simplify right side
    83,978.58x = 3,504,355,283.32
  5. Step 5: Solve for x
    x = 3,504,355,283.32/83,978.58
  6. Step 6: Final answer
    x = 41,729.15

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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.