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Finding the Fourth Proportional to 202,353.70, 303,530.55 and 97,147.30

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Solution

The fourth proportional to 202,353.70, 303,530.55 and 97,147.30 is: 145,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,353.70 : 303,530.55 = 97,147.30 : x
  2. Step 2: Convert to fraction form
    202,353.70/303,530.55 = 97,147.30/x
  3. Step 3: Cross multiply
    202,353.70x = 303,530.55 × 97,147.30
  4. Step 4: Simplify right side
    202,353.70x = 29,487,173,400.02
  5. Step 5: Solve for x
    x = 29,487,173,400.02/202,353.70
  6. Step 6: Final answer
    x = 145,720.95

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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.