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Finding the Fourth Proportional to 149,149.92, 205,780.46 and 84,608.48

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Solution

The fourth proportional to 149,149.92, 205,780.46 and 84,608.48 is: 116,733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,149.92 : 205,780.46 = 84,608.48 : x
  2. Step 2: Convert to fraction form
    149,149.92/205,780.46 = 84,608.48/x
  3. Step 3: Cross multiply
    149,149.92x = 205,780.46 × 84,608.48
  4. Step 4: Simplify right side
    149,149.92x = 17,410,771,934.30
  5. Step 5: Solve for x
    x = 17,410,771,934.30/149,149.92
  6. Step 6: Final answer
    x = 116,733.36

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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.