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Finding the Fourth Proportional to 150,515.70, 207,714 and 82,538.88

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Solution

The fourth proportional to 150,515.70, 207,714 and 82,538.88 is: 113,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,515.70 : 207,714 = 82,538.88 : x
  2. Step 2: Convert to fraction form
    150,515.70/207,714 = 82,538.88/x
  3. Step 3: Cross multiply
    150,515.70x = 207,714 × 82,538.88
  4. Step 4: Simplify right side
    150,515.70x = 17,144,480,920.32
  5. Step 5: Solve for x
    x = 17,144,480,920.32/150,515.70
  6. Step 6: Final answer
    x = 113,904.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.