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Finding the Fourth Proportional to 217,681.55, 326,396.21 and 84,405.77

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Solution

The fourth proportional to 217,681.55, 326,396.21 and 84,405.77 is: 126,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,681.55 : 326,396.21 = 84,405.77 : x
  2. Step 2: Convert to fraction form
    217,681.55/326,396.21 = 84,405.77/x
  3. Step 3: Cross multiply
    217,681.55x = 326,396.21 × 84,405.77
  4. Step 4: Simplify right side
    217,681.55x = 27,549,721,376.12
  5. Step 5: Solve for x
    x = 27,549,721,376.12/217,681.55
  6. Step 6: Final answer
    x = 126,559.75

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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.