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Finding the Fourth Proportional to 106,420.85, 159,735.16 and 87,889.67

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Solution

The fourth proportional to 106,420.85, 159,735.16 and 87,889.67 is: 131,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,420.85 : 159,735.16 = 87,889.67 : x
  2. Step 2: Convert to fraction form
    106,420.85/159,735.16 = 87,889.67/x
  3. Step 3: Cross multiply
    106,420.85x = 159,735.16 × 87,889.67
  4. Step 4: Simplify right side
    106,420.85x = 14,039,070,899.14
  5. Step 5: Solve for x
    x = 14,039,070,899.14/106,420.85
  6. Step 6: Final answer
    x = 131,920.30

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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.