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Finding the Fourth Proportional to 114,881, 172,321.50 and 31,775

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Solution

The fourth proportional to 114,881, 172,321.50 and 31,775 is: 47,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,881 : 172,321.50 = 31,775 : x
  2. Step 2: Convert to fraction form
    114,881/172,321.50 = 31,775/x
  3. Step 3: Cross multiply
    114,881x = 172,321.50 × 31,775
  4. Step 4: Simplify right side
    114,881x = 5,475,515,662.50
  5. Step 5: Solve for x
    x = 5,475,515,662.50/114,881
  6. Step 6: Final answer
    x = 47,662.50

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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.