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Finding the Fourth Proportional to 53,204.70, 79,711.05 and 30,999.90

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Solution

The fourth proportional to 53,204.70, 79,711.05 and 30,999.90 is: 46,443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204.70 : 79,711.05 = 30,999.90 : x
  2. Step 2: Convert to fraction form
    53,204.70/79,711.05 = 30,999.90/x
  3. Step 3: Cross multiply
    53,204.70x = 79,711.05 × 30,999.90
  4. Step 4: Simplify right side
    53,204.70x = 2,471,034,578.90
  5. Step 5: Solve for x
    x = 2,471,034,578.90/53,204.70
  6. Step 6: Final answer
    x = 46,443.92

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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.