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Finding the Fourth Proportional to 284,107.95, 426,151.54 and 84,423.15

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Solution

The fourth proportional to 284,107.95, 426,151.54 and 84,423.15 is: 126,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,107.95 : 426,151.54 = 84,423.15 : x
  2. Step 2: Convert to fraction form
    284,107.95/426,151.54 = 84,423.15/x
  3. Step 3: Cross multiply
    284,107.95x = 426,151.54 × 84,423.15
  4. Step 4: Simplify right side
    284,107.95x = 35,977,053,885.48
  5. Step 5: Solve for x
    x = 35,977,053,885.48/284,107.95
  6. Step 6: Final answer
    x = 126,631.63

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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.