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Finding the Fourth Proportional to 100,980.76, 151,471.50 and 30,859.78

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Solution

The fourth proportional to 100,980.76, 151,471.50 and 30,859.78 is: 46,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,980.76 : 151,471.50 = 30,859.78 : x
  2. Step 2: Convert to fraction form
    100,980.76/151,471.50 = 30,859.78/x
  3. Step 3: Cross multiply
    100,980.76x = 151,471.50 × 30,859.78
  4. Step 4: Simplify right side
    100,980.76x = 4,674,377,166.27
  5. Step 5: Solve for x
    x = 4,674,377,166.27/100,980.76
  6. Step 6: Final answer
    x = 46,289.78

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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.