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Finding the Fourth Proportional to 284,057.86, 426,083.12 and 81,658.74

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Solution

The fourth proportional to 284,057.86, 426,083.12 and 81,658.74 is: 122,487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,057.86 : 426,083.12 = 81,658.74 : x
  2. Step 2: Convert to fraction form
    284,057.86/426,083.12 = 81,658.74/x
  3. Step 3: Cross multiply
    284,057.86x = 426,083.12 × 81,658.74
  4. Step 4: Simplify right side
    284,057.86x = 34,793,410,714.47
  5. Step 5: Solve for x
    x = 34,793,410,714.47/284,057.86
  6. Step 6: Final answer
    x = 122,487.05

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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.