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Finding the Fourth Proportional to 76,948.50, 106,189.08 and 43,414.50

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Solution

The fourth proportional to 76,948.50, 106,189.08 and 43,414.50 is: 59,912.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,948.50 : 106,189.08 = 43,414.50 : x
  2. Step 2: Convert to fraction form
    76,948.50/106,189.08 = 43,414.50/x
  3. Step 3: Cross multiply
    76,948.50x = 106,189.08 × 43,414.50
  4. Step 4: Simplify right side
    76,948.50x = 4,610,145,813.66
  5. Step 5: Solve for x
    x = 4,610,145,813.66/76,948.50
  6. Step 6: Final answer
    x = 59,912.09

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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.