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Finding the Fourth Proportional to 52,883.21, 72,978.14 and 30,221.96

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Solution

The fourth proportional to 52,883.21, 72,978.14 and 30,221.96 is: 41,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,883.21 : 72,978.14 = 30,221.96 : x
  2. Step 2: Convert to fraction form
    52,883.21/72,978.14 = 30,221.96/x
  3. Step 3: Cross multiply
    52,883.21x = 72,978.14 × 30,221.96
  4. Step 4: Simplify right side
    52,883.21x = 2,205,541,911.95
  5. Step 5: Solve for x
    x = 2,205,541,911.95/52,883.21
  6. Step 6: Final answer
    x = 41,705.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.