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Finding the Fourth Proportional to 341,783.72, 512,763.10 and 105,128.44

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Solution

The fourth proportional to 341,783.72, 512,763.10 and 105,128.44 is: 157,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,783.72 : 512,763.10 = 105,128.44 : x
  2. Step 2: Convert to fraction form
    341,783.72/512,763.10 = 105,128.44/x
  3. Step 3: Cross multiply
    341,783.72x = 512,763.10 × 105,128.44
  4. Step 4: Simplify right side
    341,783.72x = 53,905,984,792.56
  5. Step 5: Solve for x
    x = 53,905,984,792.56/341,783.72
  6. Step 6: Final answer
    x = 157,719.58

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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.