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Finding the Fourth Proportional to 212,301.65, 318,211.05 and 110,943.42

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Solution

The fourth proportional to 212,301.65, 318,211.05 and 110,943.42 is: 166,288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,301.65 : 318,211.05 = 110,943.42 : x
  2. Step 2: Convert to fraction form
    212,301.65/318,211.05 = 110,943.42/x
  3. Step 3: Cross multiply
    212,301.65x = 318,211.05 × 110,943.42
  4. Step 4: Simplify right side
    212,301.65x = 35,303,421,614.07
  5. Step 5: Solve for x
    x = 35,303,421,614.07/212,301.65
  6. Step 6: Final answer
    x = 166,288.97

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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.