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Finding the Fourth Proportional to 100,782.01, 151,194.89 and 30,659.50

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Solution

The fourth proportional to 100,782.01, 151,194.89 and 30,659.50 is: 45,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,782.01 : 151,194.89 = 30,659.50 : x
  2. Step 2: Convert to fraction form
    100,782.01/151,194.89 = 30,659.50/x
  3. Step 3: Cross multiply
    100,782.01x = 151,194.89 × 30,659.50
  4. Step 4: Simplify right side
    100,782.01x = 4,635,559,729.96
  5. Step 5: Solve for x
    x = 4,635,559,729.96/100,782.01
  6. Step 6: Final answer
    x = 45,995.90

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1.5x scale

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.