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Finding the Fourth Proportional to 209,862.41, 289,600.92 and 119,218.01

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Solution

The fourth proportional to 209,862.41, 289,600.92 and 119,218.01 is: 164,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,862.41 : 289,600.92 = 119,218.01 : x
  2. Step 2: Convert to fraction form
    209,862.41/289,600.92 = 119,218.01/x
  3. Step 3: Cross multiply
    209,862.41x = 289,600.92 × 119,218.01
  4. Step 4: Simplify right side
    209,862.41x = 34,525,643,928.56
  5. Step 5: Solve for x
    x = 34,525,643,928.56/209,862.41
  6. Step 6: Final answer
    x = 164,515.62

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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.