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Finding the Fourth Proportional to 229,716.50, 317,028.21 and 129,133.94

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Solution

The fourth proportional to 229,716.50, 317,028.21 and 129,133.94 is: 178,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,716.50 : 317,028.21 = 129,133.94 : x
  2. Step 2: Convert to fraction form
    229,716.50/317,028.21 = 129,133.94/x
  3. Step 3: Cross multiply
    229,716.50x = 317,028.21 × 129,133.94
  4. Step 4: Simplify right side
    229,716.50x = 40,939,101,848.45
  5. Step 5: Solve for x
    x = 40,939,101,848.45/229,716.50
  6. Step 6: Final answer
    x = 178,215.77

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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.