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Finding the Fourth Proportional to 57,151.72, 85,726.94 and 20,207.08

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Solution

The fourth proportional to 57,151.72, 85,726.94 and 20,207.08 is: 30,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,151.72 : 85,726.94 = 20,207.08 : x
  2. Step 2: Convert to fraction form
    57,151.72/85,726.94 = 20,207.08/x
  3. Step 3: Cross multiply
    57,151.72x = 85,726.94 × 20,207.08
  4. Step 4: Simplify right side
    57,151.72x = 1,732,291,134.74
  5. Step 5: Solve for x
    x = 1,732,291,134.74/57,151.72
  6. Step 6: Final answer
    x = 30,310.39

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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.