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Finding the Fourth Proportional to 209,674, 289,341.44 and 114,180.48

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Solution

The fourth proportional to 209,674, 289,341.44 and 114,180.48 is: 157,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,674 : 289,341.44 = 114,180.48 : x
  2. Step 2: Convert to fraction form
    209,674/289,341.44 = 114,180.48/x
  3. Step 3: Cross multiply
    209,674x = 289,341.44 × 114,180.48
  4. Step 4: Simplify right side
    209,674x = 33,037,144,503.09
  5. Step 5: Solve for x
    x = 33,037,144,503.09/209,674
  6. Step 6: Final answer
    x = 157,564.34

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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.