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Finding the Fourth Proportional to 284,675.05, 427,131.30 and 124,865.86

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Solution

The fourth proportional to 284,675.05, 427,131.30 and 124,865.86 is: 187,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,675.05 : 427,131.30 = 124,865.86 : x
  2. Step 2: Convert to fraction form
    284,675.05/427,131.30 = 124,865.86/x
  3. Step 3: Cross multiply
    284,675.05x = 427,131.30 × 124,865.86
  4. Step 4: Simplify right side
    284,675.05x = 53,334,117,107.42
  5. Step 5: Solve for x
    x = 53,334,117,107.42/284,675.05
  6. Step 6: Final answer
    x = 187,350.87

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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.