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Finding the Fourth Proportional to 100,503.51, 150,777.14 and 30,381

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Solution

The fourth proportional to 100,503.51, 150,777.14 and 30,381 is: 45,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,503.51 : 150,777.14 = 30,381 : x
  2. Step 2: Convert to fraction form
    100,503.51/150,777.14 = 30,381/x
  3. Step 3: Cross multiply
    100,503.51x = 150,777.14 × 30,381
  4. Step 4: Simplify right side
    100,503.51x = 4,580,760,138.44
  5. Step 5: Solve for x
    x = 4,580,760,138.44/100,503.51
  6. Step 6: Final answer
    x = 45,578.11

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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.