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Finding the Fourth Proportional to 217,586.56, 326,310.72 and 69,808

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Solution

The fourth proportional to 217,586.56, 326,310.72 and 69,808 is: 104,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,586.56 : 326,310.72 = 69,808 : x
  2. Step 2: Convert to fraction form
    217,586.56/326,310.72 = 69,808/x
  3. Step 3: Cross multiply
    217,586.56x = 326,310.72 × 69,808
  4. Step 4: Simplify right side
    217,586.56x = 22,779,098,741.76
  5. Step 5: Solve for x
    x = 22,779,098,741.76/217,586.56
  6. Step 6: Final answer
    x = 104,689.82

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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.