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Finding the Fourth Proportional to 66,774, 100,178.10 and 47,091

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Solution

The fourth proportional to 66,774, 100,178.10 and 47,091 is: 70,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,774 : 100,178.10 = 47,091 : x
  2. Step 2: Convert to fraction form
    66,774/100,178.10 = 47,091/x
  3. Step 3: Cross multiply
    66,774x = 100,178.10 × 47,091
  4. Step 4: Simplify right side
    66,774x = 4,717,486,907.10
  5. Step 5: Solve for x
    x = 4,717,486,907.10/66,774
  6. Step 6: Final answer
    x = 70,648.56

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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.