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Finding the Fourth Proportional to 150,187.82, 207,245.12 and 89,746.43

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Solution

The fourth proportional to 150,187.82, 207,245.12 and 89,746.43 is: 123,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,187.82 : 207,245.12 = 89,746.43 : x
  2. Step 2: Convert to fraction form
    150,187.82/207,245.12 = 89,746.43/x
  3. Step 3: Cross multiply
    150,187.82x = 207,245.12 × 89,746.43
  4. Step 4: Simplify right side
    150,187.82x = 18,599,508,169.96
  5. Step 5: Solve for x
    x = 18,599,508,169.96/150,187.82
  6. Step 6: Final answer
    x = 123,841.66

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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.