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Finding the Fourth Proportional to 100,482.21, 150,634.57 and 76,895.07

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Solution

The fourth proportional to 100,482.21, 150,634.57 and 76,895.07 is: 115,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,482.21 : 150,634.57 = 76,895.07 : x
  2. Step 2: Convert to fraction form
    100,482.21/150,634.57 = 76,895.07/x
  3. Step 3: Cross multiply
    100,482.21x = 150,634.57 × 76,895.07
  4. Step 4: Simplify right side
    100,482.21x = 11,583,055,804.57
  5. Step 5: Solve for x
    x = 11,583,055,804.57/100,482.21
  6. Step 6: Final answer
    x = 115,274.69

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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.