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Finding the Fourth Proportional to 201,145.10, 301,912.05 and 101,417.90

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Solution

The fourth proportional to 201,145.10, 301,912.05 and 101,417.90 is: 152,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,145.10 : 301,912.05 = 101,417.90 : x
  2. Step 2: Convert to fraction form
    201,145.10/301,912.05 = 101,417.90/x
  3. Step 3: Cross multiply
    201,145.10x = 301,912.05 × 101,417.90
  4. Step 4: Simplify right side
    201,145.10x = 30,619,286,095.70
  5. Step 5: Solve for x
    x = 30,619,286,095.70/201,145.10
  6. Step 6: Final answer
    x = 152,224.87

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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.