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Finding the Fourth Proportional to 47,806.10, 71,698.90 and 19,718.87

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Solution

The fourth proportional to 47,806.10, 71,698.90 and 19,718.87 is: 29,574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,806.10 : 71,698.90 = 19,718.87 : x
  2. Step 2: Convert to fraction form
    47,806.10/71,698.90 = 19,718.87/x
  3. Step 3: Cross multiply
    47,806.10x = 71,698.90 × 19,718.87
  4. Step 4: Simplify right side
    47,806.10x = 1,413,821,288.24
  5. Step 5: Solve for x
    x = 1,413,821,288.24/47,806.10
  6. Step 6: Final answer
    x = 29,574.08

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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.