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Finding the Fourth Proportional to 278,140.08, 417,025.76 and 100,624

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Solution

The fourth proportional to 278,140.08, 417,025.76 and 100,624 is: 150,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,140.08 : 417,025.76 = 100,624 : x
  2. Step 2: Convert to fraction form
    278,140.08/417,025.76 = 100,624/x
  3. Step 3: Cross multiply
    278,140.08x = 417,025.76 × 100,624
  4. Step 4: Simplify right side
    278,140.08x = 41,962,800,074.24
  5. Step 5: Solve for x
    x = 41,962,800,074.24/278,140.08
  6. Step 6: Final answer
    x = 150,869.30

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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.