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Finding the Fourth Proportional to 138,872.66, 208,900.29 and 125,881.90

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Solution

The fourth proportional to 138,872.66, 208,900.29 and 125,881.90 is: 189,358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,872.66 : 208,900.29 = 125,881.90 : x
  2. Step 2: Convert to fraction form
    138,872.66/208,900.29 = 125,881.90/x
  3. Step 3: Cross multiply
    138,872.66x = 208,900.29 × 125,881.90
  4. Step 4: Simplify right side
    138,872.66x = 26,296,765,415.75
  5. Step 5: Solve for x
    x = 26,296,765,415.75/138,872.66
  6. Step 6: Final answer
    x = 189,358.84

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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.