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Finding the Fourth Proportional to 172,108.80, 258,182.64 and 83,410.56

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Solution

The fourth proportional to 172,108.80, 258,182.64 and 83,410.56 is: 125,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,108.80 : 258,182.64 = 83,410.56 : x
  2. Step 2: Convert to fraction form
    172,108.80/258,182.64 = 83,410.56/x
  3. Step 3: Cross multiply
    172,108.80x = 258,182.64 × 83,410.56
  4. Step 4: Simplify right side
    172,108.80x = 21,535,158,584.68
  5. Step 5: Solve for x
    x = 21,535,158,584.68/172,108.80
  6. Step 6: Final answer
    x = 125,125.26

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1.5x scale

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.