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Finding the Fourth Proportional to 51,109.80, 76,693.84 and 19,937.76

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Solution

The fourth proportional to 51,109.80, 76,693.84 and 19,937.76 is: 29,918.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,109.80 : 76,693.84 = 19,937.76 : x
  2. Step 2: Convert to fraction form
    51,109.80/76,693.84 = 19,937.76/x
  3. Step 3: Cross multiply
    51,109.80x = 76,693.84 × 19,937.76
  4. Step 4: Simplify right side
    51,109.80x = 1,529,103,375.40
  5. Step 5: Solve for x
    x = 1,529,103,375.40/51,109.80
  6. Step 6: Final answer
    x = 29,918.01

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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.