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Finding the Fourth Proportional to 202,138.90, 303,354.15 and 113,298.10

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Solution

The fourth proportional to 202,138.90, 303,354.15 and 113,298.10 is: 170,028.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,138.90 : 303,354.15 = 113,298.10 : x
  2. Step 2: Convert to fraction form
    202,138.90/303,354.15 = 113,298.10/x
  3. Step 3: Cross multiply
    202,138.90x = 303,354.15 × 113,298.10
  4. Step 4: Simplify right side
    202,138.90x = 34,369,448,822.12
  5. Step 5: Solve for x
    x = 34,369,448,822.12/202,138.90
  6. Step 6: Final answer
    x = 170,028.87

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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.