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Finding the Fourth Proportional to 341,796.90, 512,695.35 and 105,139.20

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Solution

The fourth proportional to 341,796.90, 512,695.35 and 105,139.20 is: 157,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,796.90 : 512,695.35 = 105,139.20 : x
  2. Step 2: Convert to fraction form
    341,796.90/512,695.35 = 105,139.20/x
  3. Step 3: Cross multiply
    341,796.90x = 512,695.35 × 105,139.20
  4. Step 4: Simplify right side
    341,796.90x = 53,904,378,942.72
  5. Step 5: Solve for x
    x = 53,904,378,942.72/341,796.90
  6. Step 6: Final answer
    x = 157,708.80

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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.