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Finding the Fourth Proportional to 150,702.32, 207,969.40 and 82,719.68

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Solution

The fourth proportional to 150,702.32, 207,969.40 and 82,719.68 is: 114,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,702.32 : 207,969.40 = 82,719.68 : x
  2. Step 2: Convert to fraction form
    150,702.32/207,969.40 = 82,719.68/x
  3. Step 3: Cross multiply
    150,702.32x = 207,969.40 × 82,719.68
  4. Step 4: Simplify right side
    150,702.32x = 17,203,162,217.79
  5. Step 5: Solve for x
    x = 17,203,162,217.79/150,702.32
  6. Step 6: Final answer
    x = 114,153.27

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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.