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Finding the Fourth Proportional to 255,898, 353,139.24 and 142,720.84

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Solution

The fourth proportional to 255,898, 353,139.24 and 142,720.84 is: 196,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,898 : 353,139.24 = 142,720.84 : x
  2. Step 2: Convert to fraction form
    255,898/353,139.24 = 142,720.84/x
  3. Step 3: Cross multiply
    255,898x = 353,139.24 × 142,720.84
  4. Step 4: Simplify right side
    255,898x = 50,400,328,969.76
  5. Step 5: Solve for x
    x = 50,400,328,969.76/255,898
  6. Step 6: Final answer
    x = 196,954.76

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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.