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Finding the Fourth Proportional to 66,999.78, 100,514.25 and 19,618.74

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Solution

The fourth proportional to 66,999.78, 100,514.25 and 19,618.74 is: 29,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,999.78 : 100,514.25 = 19,618.74 : x
  2. Step 2: Convert to fraction form
    66,999.78/100,514.25 = 19,618.74/x
  3. Step 3: Cross multiply
    66,999.78x = 100,514.25 × 19,618.74
  4. Step 4: Simplify right side
    66,999.78x = 1,971,962,937.05
  5. Step 5: Solve for x
    x = 1,971,962,937.05/66,999.78
  6. Step 6: Final answer
    x = 29,432.38

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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.