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Finding the Fourth Proportional to 284,146.89, 425,881.39 and 132,138.77

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Solution

The fourth proportional to 284,146.89, 425,881.39 and 132,138.77 is: 198,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,146.89 : 425,881.39 = 132,138.77 : x
  2. Step 2: Convert to fraction form
    284,146.89/425,881.39 = 132,138.77/x
  3. Step 3: Cross multiply
    284,146.89x = 425,881.39 × 132,138.77
  4. Step 4: Simplify right side
    284,146.89x = 56,275,443,040.49
  5. Step 5: Solve for x
    x = 56,275,443,040.49/284,146.89
  6. Step 6: Final answer
    x = 198,050.53

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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.