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Finding the Fourth Proportional to 72,778.54, 109,167.96 and 20,188.16

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Solution

The fourth proportional to 72,778.54, 109,167.96 and 20,188.16 is: 30,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,778.54 : 109,167.96 = 20,188.16 : x
  2. Step 2: Convert to fraction form
    72,778.54/109,167.96 = 20,188.16/x
  3. Step 3: Cross multiply
    72,778.54x = 109,167.96 × 20,188.16
  4. Step 4: Simplify right side
    72,778.54x = 2,203,900,243.35
  5. Step 5: Solve for x
    x = 2,203,900,243.35/72,778.54
  6. Step 6: Final answer
    x = 30,282.28

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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.