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Finding the Fourth Proportional to 89,901, 134,857.98 and 34,497

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Solution

The fourth proportional to 89,901, 134,857.98 and 34,497 is: 51,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,901 : 134,857.98 = 34,497 : x
  2. Step 2: Convert to fraction form
    89,901/134,857.98 = 34,497/x
  3. Step 3: Cross multiply
    89,901x = 134,857.98 × 34,497
  4. Step 4: Simplify right side
    89,901x = 4,652,195,736.06
  5. Step 5: Solve for x
    x = 4,652,195,736.06/89,901
  6. Step 6: Final answer
    x = 51,747.99

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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.