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Finding the Fourth Proportional to 100,716.34, 138,994.78 and 56,004.34

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Solution

The fourth proportional to 100,716.34, 138,994.78 and 56,004.34 is: 77,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,716.34 : 138,994.78 = 56,004.34 : x
  2. Step 2: Convert to fraction form
    100,716.34/138,994.78 = 56,004.34/x
  3. Step 3: Cross multiply
    100,716.34x = 138,994.78 × 56,004.34
  4. Step 4: Simplify right side
    100,716.34x = 7,784,310,917.35
  5. Step 5: Solve for x
    x = 7,784,310,917.35/100,716.34
  6. Step 6: Final answer
    x = 77,289.45

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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.