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Finding the Fourth Proportional to 149,647.96, 206,507.73 and 81,663.22

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Solution

The fourth proportional to 149,647.96, 206,507.73 and 81,663.22 is: 112,691.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,647.96 : 206,507.73 = 81,663.22 : x
  2. Step 2: Convert to fraction form
    149,647.96/206,507.73 = 81,663.22/x
  3. Step 3: Cross multiply
    149,647.96x = 206,507.73 × 81,663.22
  4. Step 4: Simplify right side
    149,647.96x = 16,864,086,186.69
  5. Step 5: Solve for x
    x = 16,864,086,186.69/149,647.96
  6. Step 6: Final answer
    x = 112,691.72

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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.