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Finding the Fourth Proportional to 257,992.98, 356,020.02 and 143,277.54

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Solution

The fourth proportional to 257,992.98, 356,020.02 and 143,277.54 is: 197,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,992.98 : 356,020.02 = 143,277.54 : x
  2. Step 2: Convert to fraction form
    257,992.98/356,020.02 = 143,277.54/x
  3. Step 3: Cross multiply
    257,992.98x = 356,020.02 × 143,277.54
  4. Step 4: Simplify right side
    257,992.98x = 51,009,672,656.35
  5. Step 5: Solve for x
    x = 51,009,672,656.35/257,992.98
  6. Step 6: Final answer
    x = 197,717.29

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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.