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Finding the Fourth Proportional to 202,039.56, 278,846.82 and 154,202.04

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Solution

The fourth proportional to 202,039.56, 278,846.82 and 154,202.04 is: 212,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,039.56 : 278,846.82 = 154,202.04 : x
  2. Step 2: Convert to fraction form
    202,039.56/278,846.82 = 154,202.04/x
  3. Step 3: Cross multiply
    202,039.56x = 278,846.82 × 154,202.04
  4. Step 4: Simplify right side
    202,039.56x = 42,998,748,491.51
  5. Step 5: Solve for x
    x = 42,998,748,491.51/202,039.56
  6. Step 6: Final answer
    x = 212,823.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.