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Finding the Fourth Proportional to 66,901, 100,358.22 and 17,653

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Solution

The fourth proportional to 66,901, 100,358.22 and 17,653 is: 26,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,901 : 100,358.22 = 17,653 : x
  2. Step 2: Convert to fraction form
    66,901/100,358.22 = 17,653/x
  3. Step 3: Cross multiply
    66,901x = 100,358.22 × 17,653
  4. Step 4: Simplify right side
    66,901x = 1,771,623,657.66
  5. Step 5: Solve for x
    x = 1,771,623,657.66/66,901
  6. Step 6: Final answer
    x = 26,481.27

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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.