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Finding the Fourth Proportional to 212,199.51, 318,439.49 and 99,911.84

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Solution

The fourth proportional to 212,199.51, 318,439.49 and 99,911.84 is: 149,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,199.51 : 318,439.49 = 99,911.84 : x
  2. Step 2: Convert to fraction form
    212,199.51/318,439.49 = 99,911.84/x
  3. Step 3: Cross multiply
    212,199.51x = 318,439.49 × 99,911.84
  4. Step 4: Simplify right side
    212,199.51x = 31,815,873,282.81
  5. Step 5: Solve for x
    x = 31,815,873,282.81/212,199.51
  6. Step 6: Final answer
    x = 149,933.77

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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.