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Finding the Fourth Proportional to 66,900, 100,356.72 and 17,652

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Solution

The fourth proportional to 66,900, 100,356.72 and 17,652 is: 26,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,900 : 100,356.72 = 17,652 : x
  2. Step 2: Convert to fraction form
    66,900/100,356.72 = 17,652/x
  3. Step 3: Cross multiply
    66,900x = 100,356.72 × 17,652
  4. Step 4: Simplify right side
    66,900x = 1,771,496,821.44
  5. Step 5: Solve for x
    x = 1,771,496,821.44/66,900
  6. Step 6: Final answer
    x = 26,479.77

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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.