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Finding the Fourth Proportional to 138,663.45, 208,459.22 and 109,433.61

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Solution

The fourth proportional to 138,663.45, 208,459.22 and 109,433.61 is: 164,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,663.45 : 208,459.22 = 109,433.61 : x
  2. Step 2: Convert to fraction form
    138,663.45/208,459.22 = 109,433.61/x
  3. Step 3: Cross multiply
    138,663.45x = 208,459.22 × 109,433.61
  4. Step 4: Simplify right side
    138,663.45x = 22,812,444,435.22
  5. Step 5: Solve for x
    x = 22,812,444,435.22/138,663.45
  6. Step 6: Final answer
    x = 164,516.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.