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Finding the Fourth Proportional to 47,752.92, 71,643.69 and 19,275.21

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Solution

The fourth proportional to 47,752.92, 71,643.69 and 19,275.21 is: 28,918.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,752.92 : 71,643.69 = 19,275.21 : x
  2. Step 2: Convert to fraction form
    47,752.92/71,643.69 = 19,275.21/x
  3. Step 3: Cross multiply
    47,752.92x = 71,643.69 × 19,275.21
  4. Step 4: Simplify right side
    47,752.92x = 1,380,947,169.92
  5. Step 5: Solve for x
    x = 1,380,947,169.92/47,752.92
  6. Step 6: Final answer
    x = 28,918.59

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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.