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Finding the Fourth Proportional to 123,268, 170,109.84 and 70,276

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Solution

The fourth proportional to 123,268, 170,109.84 and 70,276 is: 96,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,268 : 170,109.84 = 70,276 : x
  2. Step 2: Convert to fraction form
    123,268/170,109.84 = 70,276/x
  3. Step 3: Cross multiply
    123,268x = 170,109.84 × 70,276
  4. Step 4: Simplify right side
    123,268x = 11,954,639,115.84
  5. Step 5: Solve for x
    x = 11,954,639,115.84/123,268
  6. Step 6: Final answer
    x = 96,980.88

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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.