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Finding the Fourth Proportional to 229,512, 316,756.26 and 128,910

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Solution

The fourth proportional to 229,512, 316,756.26 and 128,910 is: 177,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,512 : 316,756.26 = 128,910 : x
  2. Step 2: Convert to fraction form
    229,512/316,756.26 = 128,910/x
  3. Step 3: Cross multiply
    229,512x = 316,756.26 × 128,910
  4. Step 4: Simplify right side
    229,512x = 40,833,049,476.60
  5. Step 5: Solve for x
    x = 40,833,049,476.60/229,512
  6. Step 6: Final answer
    x = 177,912.48

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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.