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Finding the Fourth Proportional to 66,768.30, 100,006.65 and 29,278.26

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Solution

The fourth proportional to 66,768.30, 100,006.65 and 29,278.26 is: 43,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,768.30 : 100,006.65 = 29,278.26 : x
  2. Step 2: Convert to fraction form
    66,768.30/100,006.65 = 29,278.26/x
  3. Step 3: Cross multiply
    66,768.30x = 100,006.65 × 29,278.26
  4. Step 4: Simplify right side
    66,768.30x = 2,928,020,700.43
  5. Step 5: Solve for x
    x = 2,928,020,700.43/66,768.30
  6. Step 6: Final answer
    x = 43,853.46

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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.