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Finding the Fourth Proportional to 66,966, 100,449 and 17,718

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Solution

The fourth proportional to 66,966, 100,449 and 17,718 is: 26,577

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,966 : 100,449 = 17,718 : x
  2. Step 2: Convert to fraction form
    66,966/100,449 = 17,718/x
  3. Step 3: Cross multiply
    66,966x = 100,449 × 17,718
  4. Step 4: Simplify right side
    66,966x = 1,779,755,382
  5. Step 5: Solve for x
    x = 1,779,755,382/66,966
  6. Step 6: Final answer
    x = 26,577

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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.