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Finding the Fourth Proportional to 215,299.96, 322,971.96 and 82,292.17

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Solution

The fourth proportional to 215,299.96, 322,971.96 and 82,292.17 is: 123,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,299.96 : 322,971.96 = 82,292.17 : x
  2. Step 2: Convert to fraction form
    215,299.96/322,971.96 = 82,292.17/x
  3. Step 3: Cross multiply
    215,299.96x = 322,971.96 × 82,292.17
  4. Step 4: Simplify right side
    215,299.96x = 26,578,063,437.55
  5. Step 5: Solve for x
    x = 26,578,063,437.55/215,299.96
  6. Step 6: Final answer
    x = 123,446.67

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1.5x scale

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.