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Finding the Fourth Proportional to 257,059.04, 385,667.38 and 115,023.88

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Solution

The fourth proportional to 257,059.04, 385,667.38 and 115,023.88 is: 172,571.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,059.04 : 385,667.38 = 115,023.88 : x
  2. Step 2: Convert to fraction form
    257,059.04/385,667.38 = 115,023.88/x
  3. Step 3: Cross multiply
    257,059.04x = 385,667.38 × 115,023.88
  4. Step 4: Simplify right side
    257,059.04x = 44,360,958,415.89
  5. Step 5: Solve for x
    x = 44,360,958,415.89/257,059.04
  6. Step 6: Final answer
    x = 172,571.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.