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Finding the Fourth Proportional to 219,754.92, 303,311.30 and 129,140

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Solution

The fourth proportional to 219,754.92, 303,311.30 and 129,140 is: 178,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,754.92 : 303,311.30 = 129,140 : x
  2. Step 2: Convert to fraction form
    219,754.92/303,311.30 = 129,140/x
  3. Step 3: Cross multiply
    219,754.92x = 303,311.30 × 129,140
  4. Step 4: Simplify right side
    219,754.92x = 39,169,621,282
  5. Step 5: Solve for x
    x = 39,169,621,282/219,754.92
  6. Step 6: Final answer
    x = 178,242.30

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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.