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Finding the Fourth Proportional to 279,135, 385,206.30 and 158,237.64

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Solution

The fourth proportional to 279,135, 385,206.30 and 158,237.64 is: 218,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,135 : 385,206.30 = 158,237.64 : x
  2. Step 2: Convert to fraction form
    279,135/385,206.30 = 158,237.64/x
  3. Step 3: Cross multiply
    279,135x = 385,206.30 × 158,237.64
  4. Step 4: Simplify right side
    279,135x = 60,954,135,825.13
  5. Step 5: Solve for x
    x = 60,954,135,825.13/279,135
  6. Step 6: Final answer
    x = 218,367.94

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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.