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Finding the Fourth Proportional to 100,852.55, 151,278.83 and 72,858.95

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Solution

The fourth proportional to 100,852.55, 151,278.83 and 72,858.95 is: 109,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,852.55 : 151,278.83 = 72,858.95 : x
  2. Step 2: Convert to fraction form
    100,852.55/151,278.83 = 72,858.95/x
  3. Step 3: Cross multiply
    100,852.55x = 151,278.83 × 72,858.95
  4. Step 4: Simplify right side
    100,852.55x = 11,022,016,346.73
  5. Step 5: Solve for x
    x = 11,022,016,346.73/100,852.55
  6. Step 6: Final answer
    x = 109,288.43

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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.