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Finding the Fourth Proportional to 202,345.10, 303,712.05 and 102,617.90

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Solution

The fourth proportional to 202,345.10, 303,712.05 and 102,617.90 is: 154,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,345.10 : 303,712.05 = 102,617.90 : x
  2. Step 2: Convert to fraction form
    202,345.10/303,712.05 = 102,617.90/x
  3. Step 3: Cross multiply
    202,345.10x = 303,712.05 × 102,617.90
  4. Step 4: Simplify right side
    202,345.10x = 31,166,292,775.70
  5. Step 5: Solve for x
    x = 31,166,292,775.70/202,345.10
  6. Step 6: Final answer
    x = 154,025.44

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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.