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Finding the Fourth Proportional to 150,388.60, 207,536.31 and 82,405.02

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Solution

The fourth proportional to 150,388.60, 207,536.31 and 82,405.02 is: 113,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,388.60 : 207,536.31 = 82,405.02 : x
  2. Step 2: Convert to fraction form
    150,388.60/207,536.31 = 82,405.02/x
  3. Step 3: Cross multiply
    150,388.60x = 207,536.31 × 82,405.02
  4. Step 4: Simplify right side
    150,388.60x = 17,102,033,776.28
  5. Step 5: Solve for x
    x = 17,102,033,776.28/150,388.60
  6. Step 6: Final answer
    x = 113,718.95

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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.