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Finding the Fourth Proportional to 47,765.52, 71,662.74 and 19,287.84

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Solution

The fourth proportional to 47,765.52, 71,662.74 and 19,287.84 is: 28,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,765.52 : 71,662.74 = 19,287.84 : x
  2. Step 2: Convert to fraction form
    47,765.52/71,662.74 = 19,287.84/x
  3. Step 3: Cross multiply
    47,765.52x = 71,662.74 × 19,287.84
  4. Step 4: Simplify right side
    47,765.52x = 1,382,219,463.08
  5. Step 5: Solve for x
    x = 1,382,219,463.08/47,765.52
  6. Step 6: Final answer
    x = 28,937.60

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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.