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Finding the Fourth Proportional to 137,679.91, 206,186.40 and 70,033.97

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Solution

The fourth proportional to 137,679.91, 206,186.40 and 70,033.97 is: 104,881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,679.91 : 206,186.40 = 70,033.97 : x
  2. Step 2: Convert to fraction form
    137,679.91/206,186.40 = 70,033.97/x
  3. Step 3: Cross multiply
    137,679.91x = 206,186.40 × 70,033.97
  4. Step 4: Simplify right side
    137,679.91x = 14,440,052,667.47
  5. Step 5: Solve for x
    x = 14,440,052,667.47/137,679.91
  6. Step 6: Final answer
    x = 104,881.34

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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.