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Finding the Fourth Proportional to 69,431, 104,151.36 and 27,878

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Solution

The fourth proportional to 69,431, 104,151.36 and 27,878 is: 41,818.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,431 : 104,151.36 = 27,878 : x
  2. Step 2: Convert to fraction form
    69,431/104,151.36 = 27,878/x
  3. Step 3: Cross multiply
    69,431x = 104,151.36 × 27,878
  4. Step 4: Simplify right side
    69,431x = 2,903,531,614.08
  5. Step 5: Solve for x
    x = 2,903,531,614.08/69,431
  6. Step 6: Final answer
    x = 41,818.95

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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.