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Finding the Fourth Proportional to 217,978.53, 326,834.04 and 84,703.23

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Solution

The fourth proportional to 217,978.53, 326,834.04 and 84,703.23 is: 127,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,978.53 : 326,834.04 = 84,703.23 : x
  2. Step 2: Convert to fraction form
    217,978.53/326,834.04 = 84,703.23/x
  3. Step 3: Cross multiply
    217,978.53x = 326,834.04 × 84,703.23
  4. Step 4: Simplify right side
    217,978.53x = 27,683,898,861.95
  5. Step 5: Solve for x
    x = 27,683,898,861.95/217,978.53
  6. Step 6: Final answer
    x = 127,002.87

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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.