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Finding the Fourth Proportional to 201,020.40, 301,271.40 and 154,040.40

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Solution

The fourth proportional to 201,020.40, 301,271.40 and 154,040.40 is: 230,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,020.40 : 301,271.40 = 154,040.40 : x
  2. Step 2: Convert to fraction form
    201,020.40/301,271.40 = 154,040.40/x
  3. Step 3: Cross multiply
    201,020.40x = 301,271.40 × 154,040.40
  4. Step 4: Simplify right side
    201,020.40x = 46,407,966,964.56
  5. Step 5: Solve for x
    x = 46,407,966,964.56/201,020.40
  6. Step 6: Final answer
    x = 230,861.98

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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.