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Finding the Fourth Proportional to 101,203.85, 151,805.78 and 31,074.05

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Solution

The fourth proportional to 101,203.85, 151,805.78 and 31,074.05 is: 46,611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,203.85 : 151,805.78 = 31,074.05 : x
  2. Step 2: Convert to fraction form
    101,203.85/151,805.78 = 31,074.05/x
  3. Step 3: Cross multiply
    101,203.85x = 151,805.78 × 31,074.05
  4. Step 4: Simplify right side
    101,203.85x = 4,717,220,242.64
  5. Step 5: Solve for x
    x = 4,717,220,242.64/101,203.85
  6. Step 6: Final answer
    x = 46,611.08

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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.