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Finding the Fourth Proportional to 341,765.85, 512,697.80 and 105,128.49

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Solution

The fourth proportional to 341,765.85, 512,697.80 and 105,128.49 is: 157,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,765.85 : 512,697.80 = 105,128.49 : x
  2. Step 2: Convert to fraction form
    341,765.85/512,697.80 = 105,128.49/x
  3. Step 3: Cross multiply
    341,765.85x = 512,697.80 × 105,128.49
  4. Step 4: Simplify right side
    341,765.85x = 53,899,145,014.68
  5. Step 5: Solve for x
    x = 53,899,145,014.68/341,765.85
  6. Step 6: Final answer
    x = 157,707.81

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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.