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Finding the Fourth Proportional to 219,189.30, 328,816.80 and 92,829.30

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Solution

The fourth proportional to 219,189.30, 328,816.80 and 92,829.30 is: 139,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,189.30 : 328,816.80 = 92,829.30 : x
  2. Step 2: Convert to fraction form
    219,189.30/328,816.80 = 92,829.30/x
  3. Step 3: Cross multiply
    219,189.30x = 328,816.80 × 92,829.30
  4. Step 4: Simplify right side
    219,189.30x = 30,523,833,372.24
  5. Step 5: Solve for x
    x = 30,523,833,372.24/219,189.30
  6. Step 6: Final answer
    x = 139,257.86

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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.