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Finding the Fourth Proportional to 201,076.76, 301,614.87 and 51,317.05

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Solution

The fourth proportional to 201,076.76, 301,614.87 and 51,317.05 is: 76,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,076.76 : 301,614.87 = 51,317.05 : x
  2. Step 2: Convert to fraction form
    201,076.76/301,614.87 = 51,317.05/x
  3. Step 3: Cross multiply
    201,076.76x = 301,614.87 × 51,317.05
  4. Step 4: Simplify right side
    201,076.76x = 15,477,985,364.53
  5. Step 5: Solve for x
    x = 15,477,985,364.53/201,076.76
  6. Step 6: Final answer
    x = 76,975.51

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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.