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Finding the Fourth Proportional to 66,958.78, 100,438.14 and 25,405.78

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Solution

The fourth proportional to 66,958.78, 100,438.14 and 25,405.78 is: 38,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,958.78 : 100,438.14 = 25,405.78 : x
  2. Step 2: Convert to fraction form
    66,958.78/100,438.14 = 25,405.78/x
  3. Step 3: Cross multiply
    66,958.78x = 100,438.14 × 25,405.78
  4. Step 4: Simplify right side
    66,958.78x = 2,551,709,288.45
  5. Step 5: Solve for x
    x = 2,551,709,288.45/66,958.78
  6. Step 6: Final answer
    x = 38,108.66

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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.