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Finding the Fourth Proportional to 205,739.58, 308,740.59 and 87,410.93

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Solution

The fourth proportional to 205,739.58, 308,740.59 and 87,410.93 is: 131,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,739.58 : 308,740.59 = 87,410.93 : x
  2. Step 2: Convert to fraction form
    205,739.58/308,740.59 = 87,410.93/x
  3. Step 3: Cross multiply
    205,739.58x = 308,740.59 × 87,410.93
  4. Step 4: Simplify right side
    205,739.58x = 26,987,300,556.95
  5. Step 5: Solve for x
    x = 26,987,300,556.95/205,739.58
  6. Step 6: Final answer
    x = 131,172.14

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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.