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Finding the Fourth Proportional to 209,862.88, 289,602.36 and 114,367.54

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Solution

The fourth proportional to 209,862.88, 289,602.36 and 114,367.54 is: 157,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,862.88 : 289,602.36 = 114,367.54 : x
  2. Step 2: Convert to fraction form
    209,862.88/289,602.36 = 114,367.54/x
  3. Step 3: Cross multiply
    209,862.88x = 289,602.36 × 114,367.54
  4. Step 4: Simplify right side
    209,862.88x = 33,121,109,491.39
  5. Step 5: Solve for x
    x = 33,121,109,491.39/209,862.88
  6. Step 6: Final answer
    x = 157,822.62

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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.