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Finding the Fourth Proportional to 209,757.38, 289,443.62 and 117,862.07

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Solution

The fourth proportional to 209,757.38, 289,443.62 and 117,862.07 is: 162,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,757.38 : 289,443.62 = 117,862.07 : x
  2. Step 2: Convert to fraction form
    209,757.38/289,443.62 = 117,862.07/x
  3. Step 3: Cross multiply
    209,757.38x = 289,443.62 × 117,862.07
  4. Step 4: Simplify right side
    209,757.38x = 34,114,422,164.97
  5. Step 5: Solve for x
    x = 34,114,422,164.97/209,757.38
  6. Step 6: Final answer
    x = 162,637.53

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1.5x scale

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.