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Finding the Fourth Proportional to 49,809.52, 74,746.68 and 18,644.50

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Solution

The fourth proportional to 49,809.52, 74,746.68 and 18,644.50 is: 27,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,809.52 : 74,746.68 = 18,644.50 : x
  2. Step 2: Convert to fraction form
    49,809.52/74,746.68 = 18,644.50/x
  3. Step 3: Cross multiply
    49,809.52x = 74,746.68 × 18,644.50
  4. Step 4: Simplify right side
    49,809.52x = 1,393,614,475.26
  5. Step 5: Solve for x
    x = 1,393,614,475.26/49,809.52
  6. Step 6: Final answer
    x = 27,978.88

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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.