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Finding the Fourth Proportional to 229,792, 317,112.96 and 129,190.72

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Solution

The fourth proportional to 229,792, 317,112.96 and 129,190.72 is: 178,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,792 : 317,112.96 = 129,190.72 : x
  2. Step 2: Convert to fraction form
    229,792/317,112.96 = 129,190.72/x
  3. Step 3: Cross multiply
    229,792x = 317,112.96 × 129,190.72
  4. Step 4: Simplify right side
    229,792x = 40,968,051,623.73
  5. Step 5: Solve for x
    x = 40,968,051,623.73/229,792
  6. Step 6: Final answer
    x = 178,283.19

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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.