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Finding the Fourth Proportional to 230,954.49, 318,707.87 and 128,978.33

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Solution

The fourth proportional to 230,954.49, 318,707.87 and 128,978.33 is: 177,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,954.49 : 318,707.87 = 128,978.33 : x
  2. Step 2: Convert to fraction form
    230,954.49/318,707.87 = 128,978.33/x
  3. Step 3: Cross multiply
    230,954.49x = 318,707.87 × 128,978.33
  4. Step 4: Simplify right side
    230,954.49x = 41,106,406,592.03
  5. Step 5: Solve for x
    x = 41,106,406,592.03/230,954.49
  6. Step 6: Final answer
    x = 177,984.88

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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.