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Finding the Fourth Proportional to 261,893.25, 361,412.69 and 142,661.25

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Solution

The fourth proportional to 261,893.25, 361,412.69 and 142,661.25 is: 196,872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,893.25 : 361,412.69 = 142,661.25 : x
  2. Step 2: Convert to fraction form
    261,893.25/361,412.69 = 142,661.25/x
  3. Step 3: Cross multiply
    261,893.25x = 361,412.69 × 142,661.25
  4. Step 4: Simplify right side
    261,893.25x = 51,559,585,407.96
  5. Step 5: Solve for x
    x = 51,559,585,407.96/261,893.25
  6. Step 6: Final answer
    x = 196,872.53

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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.