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Finding the Fourth Proportional to 257,975.65, 355,994.42 and 143,261.57

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Solution

The fourth proportional to 257,975.65, 355,994.42 and 143,261.57 is: 197,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,975.65 : 355,994.42 = 143,261.57 : x
  2. Step 2: Convert to fraction form
    257,975.65/355,994.42 = 143,261.57/x
  3. Step 3: Cross multiply
    257,975.65x = 355,994.42 × 143,261.57
  4. Step 4: Simplify right side
    257,975.65x = 51,000,319,520.44
  5. Step 5: Solve for x
    x = 51,000,319,520.44/257,975.65
  6. Step 6: Final answer
    x = 197,694.32

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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.