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Finding the Fourth Proportional to 133,141.86, 183,737.01 and 75,778.37

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Solution

The fourth proportional to 133,141.86, 183,737.01 and 75,778.37 is: 104,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,141.86 : 183,737.01 = 75,778.37 : x
  2. Step 2: Convert to fraction form
    133,141.86/183,737.01 = 75,778.37/x
  3. Step 3: Cross multiply
    133,141.86x = 183,737.01 × 75,778.37
  4. Step 4: Simplify right side
    133,141.86x = 13,923,290,207.79
  5. Step 5: Solve for x
    x = 13,923,290,207.79/133,141.86
  6. Step 6: Final answer
    x = 104,574.85

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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.