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Finding the Fourth Proportional to 20,177.59, 30,238.03 and 17,200.64

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Solution

The fourth proportional to 20,177.59, 30,238.03 and 17,200.64 is: 25,776.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.59 : 30,238.03 = 17,200.64 : x
  2. Step 2: Convert to fraction form
    20,177.59/30,238.03 = 17,200.64/x
  3. Step 3: Cross multiply
    20,177.59x = 30,238.03 × 17,200.64
  4. Step 4: Simplify right side
    20,177.59x = 520,113,468.34
  5. Step 5: Solve for x
    x = 520,113,468.34/20,177.59
  6. Step 6: Final answer
    x = 25,776.79

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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.