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Finding the Fourth Proportional to 159,305.85, 238,958.74 and 65,814.03

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Solution

The fourth proportional to 159,305.85, 238,958.74 and 65,814.03 is: 98,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,305.85 : 238,958.74 = 65,814.03 : x
  2. Step 2: Convert to fraction form
    159,305.85/238,958.74 = 65,814.03/x
  3. Step 3: Cross multiply
    159,305.85x = 238,958.74 × 65,814.03
  4. Step 4: Simplify right side
    159,305.85x = 15,726,837,683.12
  5. Step 5: Solve for x
    x = 15,726,837,683.12/159,305.85
  6. Step 6: Final answer
    x = 98,721.03

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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.