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Finding the Fourth Proportional to 229,996.68, 317,395.37 and 128,019.96

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Solution

The fourth proportional to 229,996.68, 317,395.37 and 128,019.96 is: 176,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,996.68 : 317,395.37 = 128,019.96 : x
  2. Step 2: Convert to fraction form
    229,996.68/317,395.37 = 128,019.96/x
  3. Step 3: Cross multiply
    229,996.68x = 317,395.37 × 128,019.96
  4. Step 4: Simplify right side
    229,996.68x = 40,632,942,571.59
  5. Step 5: Solve for x
    x = 40,632,942,571.59/229,996.68
  6. Step 6: Final answer
    x = 176,667.52

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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.