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Finding the Fourth Proportional to 84,009.69, 126,010.35 and 31,415.31

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Solution

The fourth proportional to 84,009.69, 126,010.35 and 31,415.31 is: 47,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,009.69 : 126,010.35 = 31,415.31 : x
  2. Step 2: Convert to fraction form
    84,009.69/126,010.35 = 31,415.31/x
  3. Step 3: Cross multiply
    84,009.69x = 126,010.35 × 31,415.31
  4. Step 4: Simplify right side
    84,009.69x = 3,958,654,208.46
  5. Step 5: Solve for x
    x = 3,958,654,208.46/84,009.69
  6. Step 6: Final answer
    x = 47,121.40

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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.