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Finding the Fourth Proportional to 202,141.70, 303,018.15 and 157,138.10

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Solution

The fourth proportional to 202,141.70, 303,018.15 and 157,138.10 is: 235,556.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,141.70 : 303,018.15 = 157,138.10 : x
  2. Step 2: Convert to fraction form
    202,141.70/303,018.15 = 157,138.10/x
  3. Step 3: Cross multiply
    202,141.70x = 303,018.15 × 157,138.10
  4. Step 4: Simplify right side
    202,141.70x = 47,615,696,356.52
  5. Step 5: Solve for x
    x = 47,615,696,356.52/202,141.70
  6. Step 6: Final answer
    x = 235,556.03

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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.