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Finding the Fourth Proportional to 49,145.60, 73,723.80 and 17,987.60

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Solution

The fourth proportional to 49,145.60, 73,723.80 and 17,987.60 is: 26,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,145.60 : 73,723.80 = 17,987.60 : x
  2. Step 2: Convert to fraction form
    49,145.60/73,723.80 = 17,987.60/x
  3. Step 3: Cross multiply
    49,145.60x = 73,723.80 × 17,987.60
  4. Step 4: Simplify right side
    49,145.60x = 1,326,114,224.88
  5. Step 5: Solve for x
    x = 1,326,114,224.88/49,145.60
  6. Step 6: Final answer
    x = 26,983.38

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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.