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Finding the Fourth Proportional to 202,731.45, 303,801.90 and 97,427.40

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Solution

The fourth proportional to 202,731.45, 303,801.90 and 97,427.40 is: 145,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,731.45 : 303,801.90 = 97,427.40 : x
  2. Step 2: Convert to fraction form
    202,731.45/303,801.90 = 97,427.40/x
  3. Step 3: Cross multiply
    202,731.45x = 303,801.90 × 97,427.40
  4. Step 4: Simplify right side
    202,731.45x = 29,598,629,232.06
  5. Step 5: Solve for x
    x = 29,598,629,232.06/202,731.45
  6. Step 6: Final answer
    x = 145,999.20

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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.