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Finding the Fourth Proportional to 163,200, 244,570.27 and 129,771.71

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Solution

The fourth proportional to 163,200, 244,570.27 and 129,771.71 is: 194,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,200 : 244,570.27 = 129,771.71 : x
  2. Step 2: Convert to fraction form
    163,200/244,570.27 = 129,771.71/x
  3. Step 3: Cross multiply
    163,200x = 244,570.27 × 129,771.71
  4. Step 4: Simplify right side
    163,200x = 31,738,302,153.06
  5. Step 5: Solve for x
    x = 31,738,302,153.06/163,200
  6. Step 6: Final answer
    x = 194,474.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.