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Finding the Fourth Proportional to 263,395.59, 363,485.91 and 142,536.87

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Solution

The fourth proportional to 263,395.59, 363,485.91 and 142,536.87 is: 196,700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,395.59 : 363,485.91 = 142,536.87 : x
  2. Step 2: Convert to fraction form
    263,395.59/363,485.91 = 142,536.87/x
  3. Step 3: Cross multiply
    263,395.59x = 363,485.91 × 142,536.87
  4. Step 4: Simplify right side
    263,395.59x = 51,810,143,900.50
  5. Step 5: Solve for x
    x = 51,810,143,900.50/263,395.59
  6. Step 6: Final answer
    x = 196,700.88

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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.