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Finding the Fourth Proportional to 150,342.58, 207,472.15 and 82,359.46

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Solution

The fourth proportional to 150,342.58, 207,472.15 and 82,359.46 is: 113,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,342.58 : 207,472.15 = 82,359.46 : x
  2. Step 2: Convert to fraction form
    150,342.58/207,472.15 = 82,359.46/x
  3. Step 3: Cross multiply
    150,342.58x = 207,472.15 × 82,359.46
  4. Step 4: Simplify right side
    150,342.58x = 17,087,292,789.88
  5. Step 5: Solve for x
    x = 17,087,292,789.88/150,342.58
  6. Step 6: Final answer
    x = 113,655.71

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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.