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Finding the Fourth Proportional to 257,778.79, 386,674.67 and 70,789.75

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Solution

The fourth proportional to 257,778.79, 386,674.67 and 70,789.75 is: 106,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,778.79 : 386,674.67 = 70,789.75 : x
  2. Step 2: Convert to fraction form
    257,778.79/386,674.67 = 70,789.75/x
  3. Step 3: Cross multiply
    257,778.79x = 386,674.67 × 70,789.75
  4. Step 4: Simplify right side
    257,778.79x = 27,372,603,220.63
  5. Step 5: Solve for x
    x = 27,372,603,220.63/257,778.79
  6. Step 6: Final answer
    x = 106,186.41

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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.