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Finding the Fourth Proportional to 57,103.12, 85,665.12 and 17,657.56

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Solution

The fourth proportional to 57,103.12, 85,665.12 and 17,657.56 is: 26,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,103.12 : 85,665.12 = 17,657.56 : x
  2. Step 2: Convert to fraction form
    57,103.12/85,665.12 = 17,657.56/x
  3. Step 3: Cross multiply
    57,103.12x = 85,665.12 × 17,657.56
  4. Step 4: Simplify right side
    57,103.12x = 1,512,636,996.31
  5. Step 5: Solve for x
    x = 1,512,636,996.31/57,103.12
  6. Step 6: Final answer
    x = 26,489.57

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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.