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Finding the Fourth Proportional to 263,397.93, 363,489.15 and 142,539.21

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Solution

The fourth proportional to 263,397.93, 363,489.15 and 142,539.21 is: 196,704.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,397.93 : 363,489.15 = 142,539.21 : x
  2. Step 2: Convert to fraction form
    263,397.93/363,489.15 = 142,539.21/x
  3. Step 3: Cross multiply
    263,397.93x = 363,489.15 × 142,539.21
  4. Step 4: Simplify right side
    263,397.93x = 51,811,455,616.42
  5. Step 5: Solve for x
    x = 51,811,455,616.42/263,397.93
  6. Step 6: Final answer
    x = 196,704.11

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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.