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Finding the Fourth Proportional to 100,987.74, 151,496.22 and 30,857.94

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Solution

The fourth proportional to 100,987.74, 151,496.22 and 30,857.94 is: 46,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,987.74 : 151,496.22 = 30,857.94 : x
  2. Step 2: Convert to fraction form
    100,987.74/151,496.22 = 30,857.94/x
  3. Step 3: Cross multiply
    100,987.74x = 151,496.22 × 30,857.94
  4. Step 4: Simplify right side
    100,987.74x = 4,674,861,266.99
  5. Step 5: Solve for x
    x = 4,674,861,266.99/100,987.74
  6. Step 6: Final answer
    x = 46,291.37

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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.