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Finding the Fourth Proportional to 100,997.60, 139,327.08 and 65,174

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Solution

The fourth proportional to 100,997.60, 139,327.08 and 65,174 is: 89,908.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,997.60 : 139,327.08 = 65,174 : x
  2. Step 2: Convert to fraction form
    100,997.60/139,327.08 = 65,174/x
  3. Step 3: Cross multiply
    100,997.60x = 139,327.08 × 65,174
  4. Step 4: Simplify right side
    100,997.60x = 9,080,503,111.92
  5. Step 5: Solve for x
    x = 9,080,503,111.92/100,997.60
  6. Step 6: Final answer
    x = 89,908.11

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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.