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Finding the Fourth Proportional to 284,834, 427,256.76 and 87,842

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Solution

The fourth proportional to 284,834, 427,256.76 and 87,842 is: 131,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,834 : 427,256.76 = 87,842 : x
  2. Step 2: Convert to fraction form
    284,834/427,256.76 = 87,842/x
  3. Step 3: Cross multiply
    284,834x = 427,256.76 × 87,842
  4. Step 4: Simplify right side
    284,834x = 37,531,088,311.92
  5. Step 5: Solve for x
    x = 37,531,088,311.92/284,834
  6. Step 6: Final answer
    x = 131,764.78

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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.