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Finding the Fourth Proportional to 243,974.56, 365,991.36 and 86,170.72

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Solution

The fourth proportional to 243,974.56, 365,991.36 and 86,170.72 is: 129,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,974.56 : 365,991.36 = 86,170.72 : x
  2. Step 2: Convert to fraction form
    243,974.56/365,991.36 = 86,170.72/x
  3. Step 3: Cross multiply
    243,974.56x = 365,991.36 × 86,170.72
  4. Step 4: Simplify right side
    243,974.56x = 31,537,739,004.98
  5. Step 5: Solve for x
    x = 31,537,739,004.98/243,974.56
  6. Step 6: Final answer
    x = 129,266.51

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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.