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Finding the Fourth Proportional to 278,102.88, 417,150 and 67,740.48

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Solution

The fourth proportional to 278,102.88, 417,150 and 67,740.48 is: 101,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,102.88 : 417,150 = 67,740.48 : x
  2. Step 2: Convert to fraction form
    278,102.88/417,150 = 67,740.48/x
  3. Step 3: Cross multiply
    278,102.88x = 417,150 × 67,740.48
  4. Step 4: Simplify right side
    278,102.88x = 28,257,941,232
  5. Step 5: Solve for x
    x = 28,257,941,232/278,102.88
  6. Step 6: Final answer
    x = 101,609.67

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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.