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Finding the Fourth Proportional to 209,862.75, 289,602.14 and 114,367.39

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Solution

The fourth proportional to 209,862.75, 289,602.14 and 114,367.39 is: 157,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,862.75 : 289,602.14 = 114,367.39 : x
  2. Step 2: Convert to fraction form
    209,862.75/289,602.14 = 114,367.39/x
  3. Step 3: Cross multiply
    209,862.75x = 289,602.14 × 114,367.39
  4. Step 4: Simplify right side
    209,862.75x = 33,121,042,188.36
  5. Step 5: Solve for x
    x = 33,121,042,188.36/209,862.75
  6. Step 6: Final answer
    x = 157,822.40

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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.