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Finding the Fourth Proportional to 73,978.08, 111,046.10 and 31,878.95

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Solution

The fourth proportional to 73,978.08, 111,046.10 and 31,878.95 is: 47,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,978.08 : 111,046.10 = 31,878.95 : x
  2. Step 2: Convert to fraction form
    73,978.08/111,046.10 = 31,878.95/x
  3. Step 3: Cross multiply
    73,978.08x = 111,046.10 × 31,878.95
  4. Step 4: Simplify right side
    73,978.08x = 3,540,032,354.97
  5. Step 5: Solve for x
    x = 3,540,032,354.97/73,978.08
  6. Step 6: Final answer
    x = 47,852.45

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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.