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Finding the Fourth Proportional to 212,361.70, 293,053.25 and 120,497.71

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Solution

The fourth proportional to 212,361.70, 293,053.25 and 120,497.71 is: 166,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,361.70 : 293,053.25 = 120,497.71 : x
  2. Step 2: Convert to fraction form
    212,361.70/293,053.25 = 120,497.71/x
  3. Step 3: Cross multiply
    212,361.70x = 293,053.25 × 120,497.71
  4. Step 4: Simplify right side
    212,361.70x = 35,312,245,101.67
  5. Step 5: Solve for x
    x = 35,312,245,101.67/212,361.70
  6. Step 6: Final answer
    x = 166,283.49

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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.