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Finding the Fourth Proportional to 257,225.33, 354,973.44 and 142,506.41

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Solution

The fourth proportional to 257,225.33, 354,973.44 and 142,506.41 is: 196,660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,225.33 : 354,973.44 = 142,506.41 : x
  2. Step 2: Convert to fraction form
    257,225.33/354,973.44 = 142,506.41/x
  3. Step 3: Cross multiply
    257,225.33x = 354,973.44 × 142,506.41
  4. Step 4: Simplify right side
    257,225.33x = 50,585,988,092.35
  5. Step 5: Solve for x
    x = 50,585,988,092.35/257,225.33
  6. Step 6: Final answer
    x = 196,660.22

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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.