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Finding the Fourth Proportional to 218,160.98, 300,939.14 and 130,923.78

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Solution

The fourth proportional to 218,160.98, 300,939.14 and 130,923.78 is: 180,600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,160.98 : 300,939.14 = 130,923.78 : x
  2. Step 2: Convert to fraction form
    218,160.98/300,939.14 = 130,923.78/x
  3. Step 3: Cross multiply
    218,160.98x = 300,939.14 × 130,923.78
  4. Step 4: Simplify right side
    218,160.98x = 39,400,089,758.75
  5. Step 5: Solve for x
    x = 39,400,089,758.75/218,160.98
  6. Step 6: Final answer
    x = 180,600.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.