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Finding the Fourth Proportional to 229,790, 317,110.20 and 129,188.72

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Solution

The fourth proportional to 229,790, 317,110.20 and 129,188.72 is: 178,280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,790 : 317,110.20 = 129,188.72 : x
  2. Step 2: Convert to fraction form
    229,790/317,110.20 = 129,188.72/x
  3. Step 3: Cross multiply
    229,790x = 317,110.20 × 129,188.72
  4. Step 4: Simplify right side
    229,790x = 40,967,060,836.94
  5. Step 5: Solve for x
    x = 40,967,060,836.94/229,790
  6. Step 6: Final answer
    x = 178,280.43

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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.