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Finding the Fourth Proportional to 278,073.60, 417,106.08 and 67,709.76

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Solution

The fourth proportional to 278,073.60, 417,106.08 and 67,709.76 is: 101,563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,073.60 : 417,106.08 = 67,709.76 : x
  2. Step 2: Convert to fraction form
    278,073.60/417,106.08 = 67,709.76/x
  3. Step 3: Cross multiply
    278,073.60x = 417,106.08 × 67,709.76
  4. Step 4: Simplify right side
    278,073.60x = 28,242,152,571.34
  5. Step 5: Solve for x
    x = 28,242,152,571.34/278,073.60
  6. Step 6: Final answer
    x = 101,563.59

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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.