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Finding the Fourth Proportional to 45,685.19, 68,519.41 and 20,719.24

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Solution

The fourth proportional to 45,685.19, 68,519.41 and 20,719.24 is: 31,075.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,685.19 : 68,519.41 = 20,719.24 : x
  2. Step 2: Convert to fraction form
    45,685.19/68,519.41 = 20,719.24/x
  3. Step 3: Cross multiply
    45,685.19x = 68,519.41 × 20,719.24
  4. Step 4: Simplify right side
    45,685.19x = 1,419,669,877.35
  5. Step 5: Solve for x
    x = 1,419,669,877.35/45,685.19
  6. Step 6: Final answer
    x = 31,075.06

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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.