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Finding the Fourth Proportional to 149,714.49, 206,647.70 and 86,072.79

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Solution

The fourth proportional to 149,714.49, 206,647.70 and 86,072.79 is: 118,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,714.49 : 206,647.70 = 86,072.79 : x
  2. Step 2: Convert to fraction form
    149,714.49/206,647.70 = 86,072.79/x
  3. Step 3: Cross multiply
    149,714.49x = 206,647.70 × 86,072.79
  4. Step 4: Simplify right side
    149,714.49x = 17,786,743,655.72
  5. Step 5: Solve for x
    x = 17,786,743,655.72/149,714.49
  6. Step 6: Final answer
    x = 118,804.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.