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Finding the Fourth Proportional to 138,708.22, 208,063.22 and 45,213.98

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Solution

The fourth proportional to 138,708.22, 208,063.22 and 45,213.98 is: 67,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,708.22 : 208,063.22 = 45,213.98 : x
  2. Step 2: Convert to fraction form
    138,708.22/208,063.22 = 45,213.98/x
  3. Step 3: Cross multiply
    138,708.22x = 208,063.22 × 45,213.98
  4. Step 4: Simplify right side
    138,708.22x = 9,407,366,267.82
  5. Step 5: Solve for x
    x = 9,407,366,267.82/138,708.22
  6. Step 6: Final answer
    x = 67,821.26

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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.