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Finding the Fourth Proportional to 20,117.70, 30,200.85 and 19,971.90

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Solution

The fourth proportional to 20,117.70, 30,200.85 and 19,971.90 is: 29,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.70 : 30,200.85 = 19,971.90 : x
  2. Step 2: Convert to fraction form
    20,117.70/30,200.85 = 19,971.90/x
  3. Step 3: Cross multiply
    20,117.70x = 30,200.85 × 19,971.90
  4. Step 4: Simplify right side
    20,117.70x = 603,168,356.12
  5. Step 5: Solve for x
    x = 603,168,356.12/20,117.70
  6. Step 6: Final answer
    x = 29,981.97

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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.