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Finding the Fourth Proportional to 205,882.93, 308,877.64 and 120,565.84

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Solution

The fourth proportional to 205,882.93, 308,877.64 and 120,565.84 is: 180,879.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,882.93 : 308,877.64 = 120,565.84 : x
  2. Step 2: Convert to fraction form
    205,882.93/308,877.64 = 120,565.84/x
  3. Step 3: Cross multiply
    205,882.93x = 308,877.64 × 120,565.84
  4. Step 4: Simplify right side
    205,882.93x = 37,240,089,976.60
  5. Step 5: Solve for x
    x = 37,240,089,976.60/205,882.93
  6. Step 6: Final answer
    x = 180,879.93

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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.