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Finding the Fourth Proportional to 201,465.70, 301,834.05 and 159,621.10

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Solution

The fourth proportional to 201,465.70, 301,834.05 and 159,621.10 is: 239,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,465.70 : 301,834.05 = 159,621.10 : x
  2. Step 2: Convert to fraction form
    201,465.70/301,834.05 = 159,621.10/x
  3. Step 3: Cross multiply
    201,465.70x = 301,834.05 × 159,621.10
  4. Step 4: Simplify right side
    201,465.70x = 48,179,083,078.46
  5. Step 5: Solve for x
    x = 48,179,083,078.46/201,465.70
  6. Step 6: Final answer
    x = 239,142.86

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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.