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Finding the Fourth Proportional to 69,161.90, 103,678.05 and 54,160.70

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Solution

The fourth proportional to 69,161.90, 103,678.05 and 54,160.70 is: 81,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,161.90 : 103,678.05 = 54,160.70 : x
  2. Step 2: Convert to fraction form
    69,161.90/103,678.05 = 54,160.70/x
  3. Step 3: Cross multiply
    69,161.90x = 103,678.05 × 54,160.70
  4. Step 4: Simplify right side
    69,161.90x = 5,615,275,762.64
  5. Step 5: Solve for x
    x = 5,615,275,762.64/69,161.90
  6. Step 6: Final answer
    x = 81,190.31

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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.