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Finding the Fourth Proportional to 100,208.72, 138,381 and 75,014.48

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Solution

The fourth proportional to 100,208.72, 138,381 and 75,014.48 is: 103,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,208.72 : 138,381 = 75,014.48 : x
  2. Step 2: Convert to fraction form
    100,208.72/138,381 = 75,014.48/x
  3. Step 3: Cross multiply
    100,208.72x = 138,381 × 75,014.48
  4. Step 4: Simplify right side
    100,208.72x = 10,380,578,756.88
  5. Step 5: Solve for x
    x = 10,380,578,756.88/100,208.72
  6. Step 6: Final answer
    x = 103,589.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.