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Finding the Fourth Proportional to 257,189.79, 354,921.87 and 142,475.87

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Solution

The fourth proportional to 257,189.79, 354,921.87 and 142,475.87 is: 196,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,189.79 : 354,921.87 = 142,475.87 : x
  2. Step 2: Convert to fraction form
    257,189.79/354,921.87 = 142,475.87/x
  3. Step 3: Cross multiply
    257,189.79x = 354,921.87 × 142,475.87
  4. Step 4: Simplify right side
    257,189.79x = 50,567,800,435.67
  5. Step 5: Solve for x
    x = 50,567,800,435.67/257,189.79
  6. Step 6: Final answer
    x = 196,616.67

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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.