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Finding the Fourth Proportional to 150,115.74, 207,150.39 and 83,047.74

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Solution

The fourth proportional to 150,115.74, 207,150.39 and 83,047.74 is: 114,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,115.74 : 207,150.39 = 83,047.74 : x
  2. Step 2: Convert to fraction form
    150,115.74/207,150.39 = 83,047.74/x
  3. Step 3: Cross multiply
    150,115.74x = 207,150.39 × 83,047.74
  4. Step 4: Simplify right side
    150,115.74x = 17,203,371,729.62
  5. Step 5: Solve for x
    x = 17,203,371,729.62/150,115.74
  6. Step 6: Final answer
    x = 114,600.72

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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.