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Finding the Fourth Proportional to 56,942.70, 85,414.05 and 20,006.70

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Solution

The fourth proportional to 56,942.70, 85,414.05 and 20,006.70 is: 30,010.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,942.70 : 85,414.05 = 20,006.70 : x
  2. Step 2: Convert to fraction form
    56,942.70/85,414.05 = 20,006.70/x
  3. Step 3: Cross multiply
    56,942.70x = 85,414.05 × 20,006.70
  4. Step 4: Simplify right side
    56,942.70x = 1,708,853,274.14
  5. Step 5: Solve for x
    x = 1,708,853,274.14/56,942.70
  6. Step 6: Final answer
    x = 30,010.05

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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.