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Finding the Fourth Proportional to 69,400.96, 103,943.78 and 54,314.08

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Solution

The fourth proportional to 69,400.96, 103,943.78 and 54,314.08 is: 81,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,400.96 : 103,943.78 = 54,314.08 : x
  2. Step 2: Convert to fraction form
    69,400.96/103,943.78 = 54,314.08/x
  3. Step 3: Cross multiply
    69,400.96x = 103,943.78 × 54,314.08
  4. Step 4: Simplify right side
    69,400.96x = 5,645,610,782.42
  5. Step 5: Solve for x
    x = 5,645,610,782.42/69,400.96
  6. Step 6: Final answer
    x = 81,347.73

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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.