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Finding the Fourth Proportional to 299,720.25, 449,570.03 and 75,082.64

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Solution

The fourth proportional to 299,720.25, 449,570.03 and 75,082.64 is: 112,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,720.25 : 449,570.03 = 75,082.64 : x
  2. Step 2: Convert to fraction form
    299,720.25/449,570.03 = 75,082.64/x
  3. Step 3: Cross multiply
    299,720.25x = 449,570.03 × 75,082.64
  4. Step 4: Simplify right side
    299,720.25x = 33,754,902,094.02
  5. Step 5: Solve for x
    x = 33,754,902,094.02/299,720.25
  6. Step 6: Final answer
    x = 112,621.36

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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.