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Finding the Fourth Proportional to 212,215.92, 317,896.74 and 98,203.02

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Solution

The fourth proportional to 212,215.92, 317,896.74 and 98,203.02 is: 147,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,215.92 : 317,896.74 = 98,203.02 : x
  2. Step 2: Convert to fraction form
    212,215.92/317,896.74 = 98,203.02/x
  3. Step 3: Cross multiply
    212,215.92x = 317,896.74 × 98,203.02
  4. Step 4: Simplify right side
    212,215.92x = 31,218,419,916.15
  5. Step 5: Solve for x
    x = 31,218,419,916.15/212,215.92
  6. Step 6: Final answer
    x = 147,106.87

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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.