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Finding the Fourth Proportional to 133,142.76, 183,738.26 and 75,779.27

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Solution

The fourth proportional to 133,142.76, 183,738.26 and 75,779.27 is: 104,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,142.76 : 183,738.26 = 75,779.27 : x
  2. Step 2: Convert to fraction form
    133,142.76/183,738.26 = 75,779.27/x
  3. Step 3: Cross multiply
    133,142.76x = 183,738.26 × 75,779.27
  4. Step 4: Simplify right side
    133,142.76x = 13,923,551,213.87
  5. Step 5: Solve for x
    x = 13,923,551,213.87/133,142.76
  6. Step 6: Final answer
    x = 104,576.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.