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Finding the Fourth Proportional to 212,298.95, 318,021.01 and 98,286.05

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Solution

The fourth proportional to 212,298.95, 318,021.01 and 98,286.05 is: 147,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,298.95 : 318,021.01 = 98,286.05 : x
  2. Step 2: Convert to fraction form
    212,298.95/318,021.01 = 98,286.05/x
  3. Step 3: Cross multiply
    212,298.95x = 318,021.01 × 98,286.05
  4. Step 4: Simplify right side
    212,298.95x = 31,257,028,889.91
  5. Step 5: Solve for x
    x = 31,257,028,889.91/212,298.95
  6. Step 6: Final answer
    x = 147,231.20

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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.