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Finding the Fourth Proportional to 43,174, 64,761 and 12,010.06

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Solution

The fourth proportional to 43,174, 64,761 and 12,010.06 is: 18,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,174 : 64,761 = 12,010.06 : x
  2. Step 2: Convert to fraction form
    43,174/64,761 = 12,010.06/x
  3. Step 3: Cross multiply
    43,174x = 64,761 × 12,010.06
  4. Step 4: Simplify right side
    43,174x = 777,783,495.66
  5. Step 5: Solve for x
    x = 777,783,495.66/43,174
  6. Step 6: Final answer
    x = 18,015.09

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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.