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Finding the Fourth Proportional to 137,362.68, 206,980.08 and 112,949.64

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Solution

The fourth proportional to 137,362.68, 206,980.08 and 112,949.64 is: 170,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,362.68 : 206,980.08 = 112,949.64 : x
  2. Step 2: Convert to fraction form
    137,362.68/206,980.08 = 112,949.64/x
  3. Step 3: Cross multiply
    137,362.68x = 206,980.08 × 112,949.64
  4. Step 4: Simplify right side
    137,362.68x = 23,378,325,523.17
  5. Step 5: Solve for x
    x = 23,378,325,523.17/137,362.68
  6. Step 6: Final answer
    x = 170,194.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.