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Finding the Fourth Proportional to 199,080, 274,730.40 and 109,656

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Solution

The fourth proportional to 199,080, 274,730.40 and 109,656 is: 151,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,080 : 274,730.40 = 109,656 : x
  2. Step 2: Convert to fraction form
    199,080/274,730.40 = 109,656/x
  3. Step 3: Cross multiply
    199,080x = 274,730.40 × 109,656
  4. Step 4: Simplify right side
    199,080x = 30,125,836,742.40
  5. Step 5: Solve for x
    x = 30,125,836,742.40/199,080
  6. Step 6: Final answer
    x = 151,325.28

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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.