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Finding the Fourth Proportional to 66,142, 99,213 and 16,894

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Solution

The fourth proportional to 66,142, 99,213 and 16,894 is: 25,341

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,142 : 99,213 = 16,894 : x
  2. Step 2: Convert to fraction form
    66,142/99,213 = 16,894/x
  3. Step 3: Cross multiply
    66,142x = 99,213 × 16,894
  4. Step 4: Simplify right side
    66,142x = 1,676,104,422
  5. Step 5: Solve for x
    x = 1,676,104,422/66,142
  6. Step 6: Final answer
    x = 25,341

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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.