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Finding the Fourth Proportional to 229,902.68, 317,262.60 and 129,300.68

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Solution

The fourth proportional to 229,902.68, 317,262.60 and 129,300.68 is: 178,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,902.68 : 317,262.60 = 129,300.68 : x
  2. Step 2: Convert to fraction form
    229,902.68/317,262.60 = 129,300.68/x
  3. Step 3: Cross multiply
    229,902.68x = 317,262.60 × 129,300.68
  4. Step 4: Simplify right side
    229,902.68x = 41,022,269,918.57
  5. Step 5: Solve for x
    x = 41,022,269,918.57/229,902.68
  6. Step 6: Final answer
    x = 178,433.20

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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.