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Finding the Fourth Proportional to 147,311, 203,289.18 and 80,243

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Solution

The fourth proportional to 147,311, 203,289.18 and 80,243 is: 110,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,311 : 203,289.18 = 80,243 : x
  2. Step 2: Convert to fraction form
    147,311/203,289.18 = 80,243/x
  3. Step 3: Cross multiply
    147,311x = 203,289.18 × 80,243
  4. Step 4: Simplify right side
    147,311x = 16,312,533,670.74
  5. Step 5: Solve for x
    x = 16,312,533,670.74/147,311
  6. Step 6: Final answer
    x = 110,735.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.