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Finding the Fourth Proportional to 257,687.17, 355,625.11 and 148,796.10

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Solution

The fourth proportional to 257,687.17, 355,625.11 and 148,796.10 is: 205,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,687.17 : 355,625.11 = 148,796.10 : x
  2. Step 2: Convert to fraction form
    257,687.17/355,625.11 = 148,796.10/x
  3. Step 3: Cross multiply
    257,687.17x = 355,625.11 × 148,796.10
  4. Step 4: Simplify right side
    257,687.17x = 52,915,629,616.07
  5. Step 5: Solve for x
    x = 52,915,629,616.07/257,687.17
  6. Step 6: Final answer
    x = 205,348.33

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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.