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Finding the Fourth Proportional to 278,155.36, 417,048.72 and 100,639

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Solution

The fourth proportional to 278,155.36, 417,048.72 and 100,639 is: 150,891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,155.36 : 417,048.72 = 100,639 : x
  2. Step 2: Convert to fraction form
    278,155.36/417,048.72 = 100,639/x
  3. Step 3: Cross multiply
    278,155.36x = 417,048.72 × 100,639
  4. Step 4: Simplify right side
    278,155.36x = 41,971,366,132.08
  5. Step 5: Solve for x
    x = 41,971,366,132.08/278,155.36
  6. Step 6: Final answer
    x = 150,891.81

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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.