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Finding the Fourth Proportional to 202,697.56, 279,577.74 and 154,868.14

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Solution

The fourth proportional to 202,697.56, 279,577.74 and 154,868.14 is: 213,607.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,697.56 : 279,577.74 = 154,868.14 : x
  2. Step 2: Convert to fraction form
    202,697.56/279,577.74 = 154,868.14/x
  3. Step 3: Cross multiply
    202,697.56x = 279,577.74 × 154,868.14
  4. Step 4: Simplify right side
    202,697.56x = 43,297,684,579.20
  5. Step 5: Solve for x
    x = 43,297,684,579.20/202,697.56
  6. Step 6: Final answer
    x = 213,607.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.