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Finding the Fourth Proportional to 100,090.78, 138,124.09 and 54,768.24

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Solution

The fourth proportional to 100,090.78, 138,124.09 and 54,768.24 is: 75,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,090.78 : 138,124.09 = 54,768.24 : x
  2. Step 2: Convert to fraction form
    100,090.78/138,124.09 = 54,768.24/x
  3. Step 3: Cross multiply
    100,090.78x = 138,124.09 × 54,768.24
  4. Step 4: Simplify right side
    100,090.78x = 7,564,813,310.90
  5. Step 5: Solve for x
    x = 7,564,813,310.90/100,090.78
  6. Step 6: Final answer
    x = 75,579.52

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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.