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Finding the Fourth Proportional to 138,872.16, 208,899.54 and 125,881.40

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Solution

The fourth proportional to 138,872.16, 208,899.54 and 125,881.40 is: 189,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,872.16 : 208,899.54 = 125,881.40 : x
  2. Step 2: Convert to fraction form
    138,872.16/208,899.54 = 125,881.40/x
  3. Step 3: Cross multiply
    138,872.16x = 208,899.54 × 125,881.40
  4. Step 4: Simplify right side
    138,872.16x = 26,296,566,554.56
  5. Step 5: Solve for x
    x = 26,296,566,554.56/138,872.16
  6. Step 6: Final answer
    x = 189,358.09

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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.