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Finding the Fourth Proportional to 114,318.80, 171,478.20 and 31,212.80

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Solution

The fourth proportional to 114,318.80, 171,478.20 and 31,212.80 is: 46,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,318.80 : 171,478.20 = 31,212.80 : x
  2. Step 2: Convert to fraction form
    114,318.80/171,478.20 = 31,212.80/x
  3. Step 3: Cross multiply
    114,318.80x = 171,478.20 × 31,212.80
  4. Step 4: Simplify right side
    114,318.80x = 5,352,314,760.96
  5. Step 5: Solve for x
    x = 5,352,314,760.96/114,318.80
  6. Step 6: Final answer
    x = 46,819.20

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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.