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Finding the Fourth Proportional to 261,908.25, 361,433.43 and 142,676.25

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Solution

The fourth proportional to 261,908.25, 361,433.43 and 142,676.25 is: 196,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,908.25 : 361,433.43 = 142,676.25 : x
  2. Step 2: Convert to fraction form
    261,908.25/361,433.43 = 142,676.25/x
  3. Step 3: Cross multiply
    261,908.25x = 361,433.43 × 142,676.25
  4. Step 4: Simplify right side
    261,908.25x = 51,567,966,417.04
  5. Step 5: Solve for x
    x = 51,567,966,417.04/261,908.25
  6. Step 6: Final answer
    x = 196,893.25

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1.5x scale

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.