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Finding the Fourth Proportional to 100,665.81, 138,919.10 and 55,348.43

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Solution

The fourth proportional to 100,665.81, 138,919.10 and 55,348.43 is: 76,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,665.81 : 138,919.10 = 55,348.43 : x
  2. Step 2: Convert to fraction form
    100,665.81/138,919.10 = 55,348.43/x
  3. Step 3: Cross multiply
    100,665.81x = 138,919.10 × 55,348.43
  4. Step 4: Simplify right side
    100,665.81x = 7,688,953,110.68
  5. Step 5: Solve for x
    x = 7,688,953,110.68/100,665.81
  6. Step 6: Final answer
    x = 76,380.98

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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.