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Finding the Fourth Proportional to 100,997.59, 139,378.44 and 55,675.30

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Solution

The fourth proportional to 100,997.59, 139,378.44 and 55,675.30 is: 76,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,997.59 : 139,378.44 = 55,675.30 : x
  2. Step 2: Convert to fraction form
    100,997.59/139,378.44 = 55,675.30/x
  3. Step 3: Cross multiply
    100,997.59x = 139,378.44 × 55,675.30
  4. Step 4: Simplify right side
    100,997.59x = 7,759,936,460.53
  5. Step 5: Solve for x
    x = 7,759,936,460.53/100,997.59
  6. Step 6: Final answer
    x = 76,832.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.