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Finding the Fourth Proportional to 100,127.31, 150,142.41 and 36,977.18

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Solution

The fourth proportional to 100,127.31, 150,142.41 and 36,977.18 is: 55,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,127.31 : 150,142.41 = 36,977.18 : x
  2. Step 2: Convert to fraction form
    100,127.31/150,142.41 = 36,977.18/x
  3. Step 3: Cross multiply
    100,127.31x = 150,142.41 × 36,977.18
  4. Step 4: Simplify right side
    100,127.31x = 5,551,843,436.32
  5. Step 5: Solve for x
    x = 5,551,843,436.32/100,127.31
  6. Step 6: Final answer
    x = 55,447.84

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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.