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Finding the Fourth Proportional to 257,073.12, 354,774.48 and 161,544.48

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Solution

The fourth proportional to 257,073.12, 354,774.48 and 161,544.48 is: 222,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,073.12 : 354,774.48 = 161,544.48 : x
  2. Step 2: Convert to fraction form
    257,073.12/354,774.48 = 161,544.48/x
  3. Step 3: Cross multiply
    257,073.12x = 354,774.48 × 161,544.48
  4. Step 4: Simplify right side
    257,073.12x = 57,311,858,888.87
  5. Step 5: Solve for x
    x = 57,311,858,888.87/257,073.12
  6. Step 6: Final answer
    x = 222,939.91

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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.