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Finding the Fourth Proportional to 73,814.96, 110,705.88 and 21,212.72

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Solution

The fourth proportional to 73,814.96, 110,705.88 and 21,212.72 is: 31,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,814.96 : 110,705.88 = 21,212.72 : x
  2. Step 2: Convert to fraction form
    73,814.96/110,705.88 = 21,212.72/x
  3. Step 3: Cross multiply
    73,814.96x = 110,705.88 × 21,212.72
  4. Step 4: Simplify right side
    73,814.96x = 2,348,372,834.79
  5. Step 5: Solve for x
    x = 2,348,372,834.79/73,814.96
  6. Step 6: Final answer
    x = 31,814.32

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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.