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Finding the Fourth Proportional to 66,677, 100,020.78 and 22,303.96

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Solution

The fourth proportional to 66,677, 100,020.78 and 22,303.96 is: 33,457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,677 : 100,020.78 = 22,303.96 : x
  2. Step 2: Convert to fraction form
    66,677/100,020.78 = 22,303.96/x
  3. Step 3: Cross multiply
    66,677x = 100,020.78 × 22,303.96
  4. Step 4: Simplify right side
    66,677x = 2,230,859,476.29
  5. Step 5: Solve for x
    x = 2,230,859,476.29/66,677
  6. Step 6: Final answer
    x = 33,457.71

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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.