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Finding the Fourth Proportional to 89,489.49, 123,492.89 and 49,203.21

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Solution

The fourth proportional to 89,489.49, 123,492.89 and 49,203.21 is: 67,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,489.49 : 123,492.89 = 49,203.21 : x
  2. Step 2: Convert to fraction form
    89,489.49/123,492.89 = 49,203.21/x
  3. Step 3: Cross multiply
    89,489.49x = 123,492.89 × 49,203.21
  4. Step 4: Simplify right side
    89,489.49x = 6,076,246,354.16
  5. Step 5: Solve for x
    x = 6,076,246,354.16/89,489.49
  6. Step 6: Final answer
    x = 67,898.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.