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Finding the Fourth Proportional to 185,165.80, 255,525.78 and 100,282.12

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Solution

The fourth proportional to 185,165.80, 255,525.78 and 100,282.12 is: 138,387.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,165.80 : 255,525.78 = 100,282.12 : x
  2. Step 2: Convert to fraction form
    185,165.80/255,525.78 = 100,282.12/x
  3. Step 3: Cross multiply
    185,165.80x = 255,525.78 × 100,282.12
  4. Step 4: Simplify right side
    185,165.80x = 25,624,666,933.05
  5. Step 5: Solve for x
    x = 25,624,666,933.05/185,165.80
  6. Step 6: Final answer
    x = 138,387.69

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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.