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Finding the Fourth Proportional to 114,512.40, 171,769.80 and 31,406.40

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Solution

The fourth proportional to 114,512.40, 171,769.80 and 31,406.40 is: 47,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,512.40 : 171,769.80 = 31,406.40 : x
  2. Step 2: Convert to fraction form
    114,512.40/171,769.80 = 31,406.40/x
  3. Step 3: Cross multiply
    114,512.40x = 171,769.80 × 31,406.40
  4. Step 4: Simplify right side
    114,512.40x = 5,394,671,046.72
  5. Step 5: Solve for x
    x = 5,394,671,046.72/114,512.40
  6. Step 6: Final answer
    x = 47,109.93

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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.