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Finding the Fourth Proportional to 57,000.86, 85,426.74 and 30,648.86

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Solution

The fourth proportional to 57,000.86, 85,426.74 and 30,648.86 is: 45,933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,000.86 : 85,426.74 = 30,648.86 : x
  2. Step 2: Convert to fraction form
    57,000.86/85,426.74 = 30,648.86/x
  3. Step 3: Cross multiply
    57,000.86x = 85,426.74 × 30,648.86
  4. Step 4: Simplify right side
    57,000.86x = 2,618,232,194.52
  5. Step 5: Solve for x
    x = 2,618,232,194.52/57,000.86
  6. Step 6: Final answer
    x = 45,933.21

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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.