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Finding the Fourth Proportional to 47,809.46, 71,722.76 and 19,713.89

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Solution

The fourth proportional to 47,809.46, 71,722.76 and 19,713.89 is: 29,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,809.46 : 71,722.76 = 19,713.89 : x
  2. Step 2: Convert to fraction form
    47,809.46/71,722.76 = 19,713.89/x
  3. Step 3: Cross multiply
    47,809.46x = 71,722.76 × 19,713.89
  4. Step 4: Simplify right side
    47,809.46x = 1,413,934,601.14
  5. Step 5: Solve for x
    x = 1,413,934,601.14/47,809.46
  6. Step 6: Final answer
    x = 29,574.37

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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.