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Finding the Fourth Proportional to 263,563.88, 395,370.12 and 86,071.82

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Solution

The fourth proportional to 263,563.88, 395,370.12 and 86,071.82 is: 129,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,563.88 : 395,370.12 = 86,071.82 : x
  2. Step 2: Convert to fraction form
    263,563.88/395,370.12 = 86,071.82/x
  3. Step 3: Cross multiply
    263,563.88x = 395,370.12 × 86,071.82
  4. Step 4: Simplify right side
    263,563.88x = 34,030,225,802.02
  5. Step 5: Solve for x
    x = 34,030,225,802.02/263,563.88
  6. Step 6: Final answer
    x = 129,115.67

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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.