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Finding the Fourth Proportional to 212,486, 293,230.68 and 118,278

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Solution

The fourth proportional to 212,486, 293,230.68 and 118,278 is: 163,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,486 : 293,230.68 = 118,278 : x
  2. Step 2: Convert to fraction form
    212,486/293,230.68 = 118,278/x
  3. Step 3: Cross multiply
    212,486x = 293,230.68 × 118,278
  4. Step 4: Simplify right side
    212,486x = 34,682,738,369.04
  5. Step 5: Solve for x
    x = 34,682,738,369.04/212,486
  6. Step 6: Final answer
    x = 163,223.64

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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.