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Finding the Fourth Proportional to 133,978.68, 201,001.44 and 49,762.80

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Solution

The fourth proportional to 133,978.68, 201,001.44 and 49,762.80 is: 74,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,978.68 : 201,001.44 = 49,762.80 : x
  2. Step 2: Convert to fraction form
    133,978.68/201,001.44 = 49,762.80/x
  3. Step 3: Cross multiply
    133,978.68x = 201,001.44 × 49,762.80
  4. Step 4: Simplify right side
    133,978.68x = 10,002,394,458.43
  5. Step 5: Solve for x
    x = 10,002,394,458.43/133,978.68
  6. Step 6: Final answer
    x = 74,656.61

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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.