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Finding the Fourth Proportional to 69,086.38, 103,631.32 and 51,666.78

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Solution

The fourth proportional to 69,086.38, 103,631.32 and 51,666.78 is: 77,501.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,086.38 : 103,631.32 = 51,666.78 : x
  2. Step 2: Convert to fraction form
    69,086.38/103,631.32 = 51,666.78/x
  3. Step 3: Cross multiply
    69,086.38x = 103,631.32 × 51,666.78
  4. Step 4: Simplify right side
    69,086.38x = 5,354,296,611.55
  5. Step 5: Solve for x
    x = 5,354,296,611.55/69,086.38
  6. Step 6: Final answer
    x = 77,501.48

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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.