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Finding the Fourth Proportional to 201,133.50, 301,739.07 and 76,464.78

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Solution

The fourth proportional to 201,133.50, 301,739.07 and 76,464.78 is: 114,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,133.50 : 301,739.07 = 76,464.78 : x
  2. Step 2: Convert to fraction form
    201,133.50/301,739.07 = 76,464.78/x
  3. Step 3: Cross multiply
    201,133.50x = 301,739.07 × 76,464.78
  4. Step 4: Simplify right side
    201,133.50x = 23,072,411,604.95
  5. Step 5: Solve for x
    x = 23,072,411,604.95/201,133.50
  6. Step 6: Final answer
    x = 114,711.93

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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.