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Finding the Fourth Proportional to 264,202, 396,219.80 and 86,667.76

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Solution

The fourth proportional to 264,202, 396,219.80 and 86,667.76 is: 129,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,202 : 396,219.80 = 86,667.76 : x
  2. Step 2: Convert to fraction form
    264,202/396,219.80 = 86,667.76/x
  3. Step 3: Cross multiply
    264,202x = 396,219.80 × 86,667.76
  4. Step 4: Simplify right side
    264,202x = 34,339,482,533.65
  5. Step 5: Solve for x
    x = 34,339,482,533.65/264,202
  6. Step 6: Final answer
    x = 129,974.35

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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.