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Finding the Fourth Proportional to 100,958.40, 151,437.60 and 30,828.60

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Solution

The fourth proportional to 100,958.40, 151,437.60 and 30,828.60 is: 46,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,958.40 : 151,437.60 = 30,828.60 : x
  2. Step 2: Convert to fraction form
    100,958.40/151,437.60 = 30,828.60/x
  3. Step 3: Cross multiply
    100,958.40x = 151,437.60 × 30,828.60
  4. Step 4: Simplify right side
    100,958.40x = 4,668,609,195.36
  5. Step 5: Solve for x
    x = 4,668,609,195.36/100,958.40
  6. Step 6: Final answer
    x = 46,242.90

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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.