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Finding the Fourth Proportional to 20,129.70, 30,194.40 and 6,089.70

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Solution

The fourth proportional to 20,129.70, 30,194.40 and 6,089.70 is: 9,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.70 : 30,194.40 = 6,089.70 : x
  2. Step 2: Convert to fraction form
    20,129.70/30,194.40 = 6,089.70/x
  3. Step 3: Cross multiply
    20,129.70x = 30,194.40 × 6,089.70
  4. Step 4: Simplify right side
    20,129.70x = 183,874,837.68
  5. Step 5: Solve for x
    x = 183,874,837.68/20,129.70
  6. Step 6: Final answer
    x = 9,134.50

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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.