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Finding the Fourth Proportional to 100,714.40, 138,974.97 and 58,265

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Solution

The fourth proportional to 100,714.40, 138,974.97 and 58,265 is: 80,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,714.40 : 138,974.97 = 58,265 : x
  2. Step 2: Convert to fraction form
    100,714.40/138,974.97 = 58,265/x
  3. Step 3: Cross multiply
    100,714.40x = 138,974.97 × 58,265
  4. Step 4: Simplify right side
    100,714.40x = 8,097,376,627.05
  5. Step 5: Solve for x
    x = 8,097,376,627.05/100,714.40
  6. Step 6: Final answer
    x = 80,399.39

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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.