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Finding the Fourth Proportional to 73,817.40, 110,708.10 and 21,221.40

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Solution

The fourth proportional to 73,817.40, 110,708.10 and 21,221.40 is: 31,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,817.40 : 110,708.10 = 21,221.40 : x
  2. Step 2: Convert to fraction form
    73,817.40/110,708.10 = 21,221.40/x
  3. Step 3: Cross multiply
    73,817.40x = 110,708.10 × 21,221.40
  4. Step 4: Simplify right side
    73,817.40x = 2,349,380,873.34
  5. Step 5: Solve for x
    x = 2,349,380,873.34/73,817.40
  6. Step 6: Final answer
    x = 31,826.93

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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.