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Finding the Fourth Proportional to 108,138.24, 149,205.24 and 65,694.24

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Solution

The fourth proportional to 108,138.24, 149,205.24 and 65,694.24 is: 90,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,138.24 : 149,205.24 = 65,694.24 : x
  2. Step 2: Convert to fraction form
    108,138.24/149,205.24 = 65,694.24/x
  3. Step 3: Cross multiply
    108,138.24x = 149,205.24 × 65,694.24
  4. Step 4: Simplify right side
    108,138.24x = 9,801,924,845.82
  5. Step 5: Solve for x
    x = 9,801,924,845.82/108,138.24
  6. Step 6: Final answer
    x = 90,642.54

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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.