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Finding the Fourth Proportional to 203,530.21, 305,322.35 and 75,428.76

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Solution

The fourth proportional to 203,530.21, 305,322.35 and 75,428.76 is: 113,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,530.21 : 305,322.35 = 75,428.76 : x
  2. Step 2: Convert to fraction form
    203,530.21/305,322.35 = 75,428.76/x
  3. Step 3: Cross multiply
    203,530.21x = 305,322.35 × 75,428.76
  4. Step 4: Simplify right side
    203,530.21x = 23,030,085,883.64
  5. Step 5: Solve for x
    x = 23,030,085,883.64/203,530.21
  6. Step 6: Final answer
    x = 113,153.16

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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.