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Finding the Fourth Proportional to 212,362.13, 318,169.53 and 199,719.65

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Solution

The fourth proportional to 212,362.13, 318,169.53 and 199,719.65 is: 299,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,362.13 : 318,169.53 = 199,719.65 : x
  2. Step 2: Convert to fraction form
    212,362.13/318,169.53 = 199,719.65/x
  3. Step 3: Cross multiply
    212,362.13x = 318,169.53 × 199,719.65
  4. Step 4: Simplify right side
    212,362.13x = 63,544,707,172.26
  5. Step 5: Solve for x
    x = 63,544,707,172.26/212,362.13
  6. Step 6: Final answer
    x = 299,228.06

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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.