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Finding the Fourth Proportional to 257,969.87, 355,978.89 and 144,770.75

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Solution

The fourth proportional to 257,969.87, 355,978.89 and 144,770.75 is: 199,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,969.87 : 355,978.89 = 144,770.75 : x
  2. Step 2: Convert to fraction form
    257,969.87/355,978.89 = 144,770.75/x
  3. Step 3: Cross multiply
    257,969.87x = 355,978.89 × 144,770.75
  4. Step 4: Simplify right side
    257,969.87x = 51,535,330,889.47
  5. Step 5: Solve for x
    x = 51,535,330,889.47/257,969.87
  6. Step 6: Final answer
    x = 199,772.67

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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.