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Finding the Fourth Proportional to 100,162.49, 138,224.25 and 54,840.48

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Solution

The fourth proportional to 100,162.49, 138,224.25 and 54,840.48 is: 75,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,162.49 : 138,224.25 = 54,840.48 : x
  2. Step 2: Convert to fraction form
    100,162.49/138,224.25 = 54,840.48/x
  3. Step 3: Cross multiply
    100,162.49x = 138,224.25 × 54,840.48
  4. Step 4: Simplify right side
    100,162.49x = 7,580,283,699.30
  5. Step 5: Solve for x
    x = 7,580,283,699.30/100,162.49
  6. Step 6: Final answer
    x = 75,679.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.