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Finding the Fourth Proportional to 257,076.73, 385,693.86 and 115,041.56

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Solution

The fourth proportional to 257,076.73, 385,693.86 and 115,041.56 is: 172,597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,076.73 : 385,693.86 = 115,041.56 : x
  2. Step 2: Convert to fraction form
    257,076.73/385,693.86 = 115,041.56/x
  3. Step 3: Cross multiply
    257,076.73x = 385,693.86 × 115,041.56
  4. Step 4: Simplify right side
    257,076.73x = 44,370,823,336.82
  5. Step 5: Solve for x
    x = 44,370,823,336.82/257,076.73
  6. Step 6: Final answer
    x = 172,597.59

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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.