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Finding the Fourth Proportional to 31,164.69, 46,769.45 and 21,144.50

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Solution

The fourth proportional to 31,164.69, 46,769.45 and 21,144.50 is: 31,731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.69 : 46,769.45 = 21,144.50 : x
  2. Step 2: Convert to fraction form
    31,164.69/46,769.45 = 21,144.50/x
  3. Step 3: Cross multiply
    31,164.69x = 46,769.45 × 21,144.50
  4. Step 4: Simplify right side
    31,164.69x = 988,916,295.96
  5. Step 5: Solve for x
    x = 988,916,295.96/31,164.69
  6. Step 6: Final answer
    x = 31,731.95

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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.