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Finding the Fourth Proportional to 114,987.50, 172,481.26 and 31,881.50

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Solution

The fourth proportional to 114,987.50, 172,481.26 and 31,881.50 is: 47,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,987.50 : 172,481.26 = 31,881.50 : x
  2. Step 2: Convert to fraction form
    114,987.50/172,481.26 = 31,881.50/x
  3. Step 3: Cross multiply
    114,987.50x = 172,481.26 × 31,881.50
  4. Step 4: Simplify right side
    114,987.50x = 5,498,961,290.69
  5. Step 5: Solve for x
    x = 5,498,961,290.69/114,987.50
  6. Step 6: Final answer
    x = 47,822.25

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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.