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Finding the Fourth Proportional to 66,112.50, 99,168.76 and 16,864.50

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Solution

The fourth proportional to 66,112.50, 99,168.76 and 16,864.50 is: 25,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,112.50 : 99,168.76 = 16,864.50 : x
  2. Step 2: Convert to fraction form
    66,112.50/99,168.76 = 16,864.50/x
  3. Step 3: Cross multiply
    66,112.50x = 99,168.76 × 16,864.50
  4. Step 4: Simplify right side
    66,112.50x = 1,672,431,553.02
  5. Step 5: Solve for x
    x = 1,672,431,553.02/66,112.50
  6. Step 6: Final answer
    x = 25,296.75

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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.