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Finding the Fourth Proportional to 201,998.94, 278,757.82 and 117,164.40

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Solution

The fourth proportional to 201,998.94, 278,757.82 and 117,164.40 is: 161,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,998.94 : 278,757.82 = 117,164.40 : x
  2. Step 2: Convert to fraction form
    201,998.94/278,757.82 = 117,164.40/x
  3. Step 3: Cross multiply
    201,998.94x = 278,757.82 × 117,164.40
  4. Step 4: Simplify right side
    201,998.94x = 32,660,492,725.61
  5. Step 5: Solve for x
    x = 32,660,492,725.61/201,998.94
  6. Step 6: Final answer
    x = 161,686.46

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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.