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Finding the Fourth Proportional to 257,157.72, 354,907.98 and 143,958.60

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Solution

The fourth proportional to 257,157.72, 354,907.98 and 143,958.60 is: 198,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,157.72 : 354,907.98 = 143,958.60 : x
  2. Step 2: Convert to fraction form
    257,157.72/354,907.98 = 143,958.60/x
  3. Step 3: Cross multiply
    257,157.72x = 354,907.98 × 143,958.60
  4. Step 4: Simplify right side
    257,157.72x = 51,092,055,929.63
  5. Step 5: Solve for x
    x = 51,092,055,929.63/257,157.72
  6. Step 6: Final answer
    x = 198,679.84

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1.5x scale

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.