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Finding the Fourth Proportional to 284,820, 427,127.85 and 85,103.16

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Solution

The fourth proportional to 284,820, 427,127.85 and 85,103.16 is: 127,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,820 : 427,127.85 = 85,103.16 : x
  2. Step 2: Convert to fraction form
    284,820/427,127.85 = 85,103.16/x
  3. Step 3: Cross multiply
    284,820x = 427,127.85 × 85,103.16
  4. Step 4: Simplify right side
    284,820x = 36,349,929,759.01
  5. Step 5: Solve for x
    x = 36,349,929,759.01/284,820
  6. Step 6: Final answer
    x = 127,624.22

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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.