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Finding the Fourth Proportional to 84,590.98, 126,872.70 and 31,987.96

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Solution

The fourth proportional to 84,590.98, 126,872.70 and 31,987.96 is: 47,976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,590.98 : 126,872.70 = 31,987.96 : x
  2. Step 2: Convert to fraction form
    84,590.98/126,872.70 = 31,987.96/x
  3. Step 3: Cross multiply
    84,590.98x = 126,872.70 × 31,987.96
  4. Step 4: Simplify right side
    84,590.98x = 4,058,398,852.69
  5. Step 5: Solve for x
    x = 4,058,398,852.69/84,590.98
  6. Step 6: Final answer
    x = 47,976.73

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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.