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Finding the Fourth Proportional to 201,280.74, 301,920.91 and 51,520.79

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Solution

The fourth proportional to 201,280.74, 301,920.91 and 51,520.79 is: 77,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,280.74 : 301,920.91 = 51,520.79 : x
  2. Step 2: Convert to fraction form
    201,280.74/301,920.91 = 51,520.79/x
  3. Step 3: Cross multiply
    201,280.74x = 301,920.91 × 51,520.79
  4. Step 4: Simplify right side
    201,280.74x = 15,555,202,797.32
  5. Step 5: Solve for x
    x = 15,555,202,797.32/201,280.74
  6. Step 6: Final answer
    x = 77,281.13

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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.