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Finding the Fourth Proportional to 230,556, 318,172.14 and 129,954

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Solution

The fourth proportional to 230,556, 318,172.14 and 129,954 is: 179,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,556 : 318,172.14 = 129,954 : x
  2. Step 2: Convert to fraction form
    230,556/318,172.14 = 129,954/x
  3. Step 3: Cross multiply
    230,556x = 318,172.14 × 129,954
  4. Step 4: Simplify right side
    230,556x = 41,347,742,281.56
  5. Step 5: Solve for x
    x = 41,347,742,281.56/230,556
  6. Step 6: Final answer
    x = 179,339.26

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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.