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Finding the Fourth Proportional to 138,671.96, 208,039.10 and 43,907.81

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Solution

The fourth proportional to 138,671.96, 208,039.10 and 43,907.81 is: 65,871.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,671.96 : 208,039.10 = 43,907.81 : x
  2. Step 2: Convert to fraction form
    138,671.96/208,039.10 = 43,907.81/x
  3. Step 3: Cross multiply
    138,671.96x = 208,039.10 × 43,907.81
  4. Step 4: Simplify right side
    138,671.96x = 9,134,540,015.64
  5. Step 5: Solve for x
    x = 9,134,540,015.64/138,671.96
  6. Step 6: Final answer
    x = 65,871.57

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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.