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Finding the Fourth Proportional to 143,266.39, 214,938.47 and 43,429.84

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Solution

The fourth proportional to 143,266.39, 214,938.47 and 43,429.84 is: 65,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,266.39 : 214,938.47 = 43,429.84 : x
  2. Step 2: Convert to fraction form
    143,266.39/214,938.47 = 43,429.84/x
  3. Step 3: Cross multiply
    143,266.39x = 214,938.47 × 43,429.84
  4. Step 4: Simplify right side
    143,266.39x = 9,334,743,361.94
  5. Step 5: Solve for x
    x = 9,334,743,361.94/143,266.39
  6. Step 6: Final answer
    x = 65,156.55

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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.