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Finding the Fourth Proportional to 259,103.40, 388,359.63 and 118,566.78

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Solution

The fourth proportional to 259,103.40, 388,359.63 and 118,566.78 is: 177,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,103.40 : 388,359.63 = 118,566.78 : x
  2. Step 2: Convert to fraction form
    259,103.40/388,359.63 = 118,566.78/x
  3. Step 3: Cross multiply
    259,103.40x = 388,359.63 × 118,566.78
  4. Step 4: Simplify right side
    259,103.40x = 46,046,550,811.09
  5. Step 5: Solve for x
    x = 46,046,550,811.09/259,103.40
  6. Step 6: Final answer
    x = 177,714.96

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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.