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Finding the Fourth Proportional to 159,589.22, 220,234.64 and 87,971.81

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Solution

The fourth proportional to 159,589.22, 220,234.64 and 87,971.81 is: 121,401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,589.22 : 220,234.64 = 87,971.81 : x
  2. Step 2: Convert to fraction form
    159,589.22/220,234.64 = 87,971.81/x
  3. Step 3: Cross multiply
    159,589.22x = 220,234.64 × 87,971.81
  4. Step 4: Simplify right side
    159,589.22x = 19,374,438,364.47
  5. Step 5: Solve for x
    x = 19,374,438,364.47/159,589.22
  6. Step 6: Final answer
    x = 121,401.93

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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.