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Finding the Fourth Proportional to 84,012.90, 115,939.89 and 51,735.30

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Solution

The fourth proportional to 84,012.90, 115,939.89 and 51,735.30 is: 71,396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,012.90 : 115,939.89 = 51,735.30 : x
  2. Step 2: Convert to fraction form
    84,012.90/115,939.89 = 51,735.30/x
  3. Step 3: Cross multiply
    84,012.90x = 115,939.89 × 51,735.30
  4. Step 4: Simplify right side
    84,012.90x = 5,998,184,991.12
  5. Step 5: Solve for x
    x = 5,998,184,991.12/84,012.90
  6. Step 6: Final answer
    x = 71,396.00

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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.