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Finding the Fourth Proportional to 100,997.79, 139,374.47 and 55,674.79

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Solution

The fourth proportional to 100,997.79, 139,374.47 and 55,674.79 is: 76,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,997.79 : 139,374.47 = 55,674.79 : x
  2. Step 2: Convert to fraction form
    100,997.79/139,374.47 = 55,674.79/x
  3. Step 3: Cross multiply
    100,997.79x = 139,374.47 × 55,674.79
  4. Step 4: Simplify right side
    100,997.79x = 7,759,644,923.34
  5. Step 5: Solve for x
    x = 7,759,644,923.34/100,997.79
  6. Step 6: Final answer
    x = 76,829.85

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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.