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Finding the Fourth Proportional to 66,768, 100,074.18 and 37,171.68

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Solution

The fourth proportional to 66,768, 100,074.18 and 37,171.68 is: 55,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,768 : 100,074.18 = 37,171.68 : x
  2. Step 2: Convert to fraction form
    66,768/100,074.18 = 37,171.68/x
  3. Step 3: Cross multiply
    66,768x = 100,074.18 × 37,171.68
  4. Step 4: Simplify right side
    66,768x = 3,719,925,395.22
  5. Step 5: Solve for x
    x = 3,719,925,395.22/66,768
  6. Step 6: Final answer
    x = 55,714.20

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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.