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Finding the Fourth Proportional to 264,048.65, 396,072.98 and 86,512.85

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Solution

The fourth proportional to 264,048.65, 396,072.98 and 86,512.85 is: 129,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,048.65 : 396,072.98 = 86,512.85 : x
  2. Step 2: Convert to fraction form
    264,048.65/396,072.98 = 86,512.85/x
  3. Step 3: Cross multiply
    264,048.65x = 396,072.98 × 86,512.85
  4. Step 4: Simplify right side
    264,048.65x = 34,265,401,875.23
  5. Step 5: Solve for x
    x = 34,265,401,875.23/264,048.65
  6. Step 6: Final answer
    x = 129,769.28

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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.