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Finding the Fourth Proportional to 100,780, 151,171.44 and 35,116

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Solution

The fourth proportional to 100,780, 151,171.44 and 35,116 is: 52,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,780 : 151,171.44 = 35,116 : x
  2. Step 2: Convert to fraction form
    100,780/151,171.44 = 35,116/x
  3. Step 3: Cross multiply
    100,780x = 151,171.44 × 35,116
  4. Step 4: Simplify right side
    100,780x = 5,308,536,287.04
  5. Step 5: Solve for x
    x = 5,308,536,287.04/100,780
  6. Step 6: Final answer
    x = 52,674.50

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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.