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Finding the Fourth Proportional to 257,975.87, 355,994.73 and 143,261.80

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Solution

The fourth proportional to 257,975.87, 355,994.73 and 143,261.80 is: 197,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,975.87 : 355,994.73 = 143,261.80 : x
  2. Step 2: Convert to fraction form
    257,975.87/355,994.73 = 143,261.80/x
  3. Step 3: Cross multiply
    257,975.87x = 355,994.73 × 143,261.80
  4. Step 4: Simplify right side
    257,975.87x = 51,000,445,810.31
  5. Step 5: Solve for x
    x = 51,000,445,810.31/257,975.87
  6. Step 6: Final answer
    x = 197,694.64

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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.