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Finding the Fourth Proportional to 278,007.50, 417,014.90 and 91,019

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Solution

The fourth proportional to 278,007.50, 417,014.90 and 91,019 is: 136,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,007.50 : 417,014.90 = 91,019 : x
  2. Step 2: Convert to fraction form
    278,007.50/417,014.90 = 91,019/x
  3. Step 3: Cross multiply
    278,007.50x = 417,014.90 × 91,019
  4. Step 4: Simplify right side
    278,007.50x = 37,956,279,183.10
  5. Step 5: Solve for x
    x = 37,956,279,183.10/278,007.50
  6. Step 6: Final answer
    x = 136,529.70

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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.