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Finding the Fourth Proportional to 264,739.78, 397,024.62 and 87,199.12

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Solution

The fourth proportional to 264,739.78, 397,024.62 and 87,199.12 is: 130,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,739.78 : 397,024.62 = 87,199.12 : x
  2. Step 2: Convert to fraction form
    264,739.78/397,024.62 = 87,199.12/x
  3. Step 3: Cross multiply
    264,739.78x = 397,024.62 × 87,199.12
  4. Step 4: Simplify right side
    264,739.78x = 34,620,197,482.33
  5. Step 5: Solve for x
    x = 34,620,197,482.33/264,739.78
  6. Step 6: Final answer
    x = 130,770.67

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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.