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Finding the Fourth Proportional to 201,077.72, 301,616.33 and 51,318.02

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Solution

The fourth proportional to 201,077.72, 301,616.33 and 51,318.02 is: 76,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,077.72 : 301,616.33 = 51,318.02 : x
  2. Step 2: Convert to fraction form
    201,077.72/301,616.33 = 51,318.02/x
  3. Step 3: Cross multiply
    201,077.72x = 301,616.33 × 51,318.02
  4. Step 4: Simplify right side
    201,077.72x = 15,478,353,641.38
  5. Step 5: Solve for x
    x = 15,478,353,641.38/201,077.72
  6. Step 6: Final answer
    x = 76,976.97

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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.