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Finding the Fourth Proportional to 100,774.53, 151,184.27 and 30,659.31

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Solution

The fourth proportional to 100,774.53, 151,184.27 and 30,659.31 is: 45,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,774.53 : 151,184.27 = 30,659.31 : x
  2. Step 2: Convert to fraction form
    100,774.53/151,184.27 = 30,659.31/x
  3. Step 3: Cross multiply
    100,774.53x = 151,184.27 × 30,659.31
  4. Step 4: Simplify right side
    100,774.53x = 4,635,205,477.70
  5. Step 5: Solve for x
    x = 4,635,205,477.70/100,774.53
  6. Step 6: Final answer
    x = 45,995.80

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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.