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Finding the Fourth Proportional to 209,955.42, 289,743.99 and 129,436.14

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Solution

The fourth proportional to 209,955.42, 289,743.99 and 129,436.14 is: 178,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,955.42 : 289,743.99 = 129,436.14 : x
  2. Step 2: Convert to fraction form
    209,955.42/289,743.99 = 129,436.14/x
  3. Step 3: Cross multiply
    209,955.42x = 289,743.99 × 129,436.14
  4. Step 4: Simplify right side
    209,955.42x = 37,503,343,653.80
  5. Step 5: Solve for x
    x = 37,503,343,653.80/209,955.42
  6. Step 6: Final answer
    x = 178,625.27

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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.