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Finding the Fourth Proportional to 109,343.28, 163,980.36 and 35,454

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Solution

The fourth proportional to 109,343.28, 163,980.36 and 35,454 is: 53,169.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,343.28 : 163,980.36 = 35,454 : x
  2. Step 2: Convert to fraction form
    109,343.28/163,980.36 = 35,454/x
  3. Step 3: Cross multiply
    109,343.28x = 163,980.36 × 35,454
  4. Step 4: Simplify right side
    109,343.28x = 5,813,759,683.44
  5. Step 5: Solve for x
    x = 5,813,759,683.44/109,343.28
  6. Step 6: Final answer
    x = 53,169.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.