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Finding the Fourth Proportional to 205,812.58, 308,788.80 and 111,051.76

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Solution

The fourth proportional to 205,812.58, 308,788.80 and 111,051.76 is: 166,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,812.58 : 308,788.80 = 111,051.76 : x
  2. Step 2: Convert to fraction form
    205,812.58/308,788.80 = 111,051.76/x
  3. Step 3: Cross multiply
    205,812.58x = 308,788.80 × 111,051.76
  4. Step 4: Simplify right side
    205,812.58x = 34,291,539,708.29
  5. Step 5: Solve for x
    x = 34,291,539,708.29/205,812.58
  6. Step 6: Final answer
    x = 166,615.37

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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.