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Finding the Fourth Proportional to 48,978.88, 73,461.12 and 13,917.76

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Solution

The fourth proportional to 48,978.88, 73,461.12 and 13,917.76 is: 20,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,978.88 : 73,461.12 = 13,917.76 : x
  2. Step 2: Convert to fraction form
    48,978.88/73,461.12 = 13,917.76/x
  3. Step 3: Cross multiply
    48,978.88x = 73,461.12 × 13,917.76
  4. Step 4: Simplify right side
    48,978.88x = 1,022,414,237.49
  5. Step 5: Solve for x
    x = 1,022,414,237.49/48,978.88
  6. Step 6: Final answer
    x = 20,874.59

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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.