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Finding the Fourth Proportional to 255,695.94, 352,872.45 and 142,519.50

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Solution

The fourth proportional to 255,695.94, 352,872.45 and 142,519.50 is: 196,683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,695.94 : 352,872.45 = 142,519.50 : x
  2. Step 2: Convert to fraction form
    255,695.94/352,872.45 = 142,519.50/x
  3. Step 3: Cross multiply
    255,695.94x = 352,872.45 × 142,519.50
  4. Step 4: Simplify right side
    255,695.94x = 50,291,205,137.78
  5. Step 5: Solve for x
    x = 50,291,205,137.78/255,695.94
  6. Step 6: Final answer
    x = 196,683.63

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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.