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Finding the Fourth Proportional to 146,634, 219,955.11 and 51,850.80

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Solution

The fourth proportional to 146,634, 219,955.11 and 51,850.80 is: 77,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,634 : 219,955.11 = 51,850.80 : x
  2. Step 2: Convert to fraction form
    146,634/219,955.11 = 51,850.80/x
  3. Step 3: Cross multiply
    146,634x = 219,955.11 × 51,850.80
  4. Step 4: Simplify right side
    146,634x = 11,404,848,417.59
  5. Step 5: Solve for x
    x = 11,404,848,417.59/146,634
  6. Step 6: Final answer
    x = 77,777.65

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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.