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Finding the Fourth Proportional to 188,168.60, 259,668.32 and 102,127.72

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Solution

The fourth proportional to 188,168.60, 259,668.32 and 102,127.72 is: 140,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,168.60 : 259,668.32 = 102,127.72 : x
  2. Step 2: Convert to fraction form
    188,168.60/259,668.32 = 102,127.72/x
  3. Step 3: Cross multiply
    188,168.60x = 259,668.32 × 102,127.72
  4. Step 4: Simplify right side
    188,168.60x = 26,519,333,477.83
  5. Step 5: Solve for x
    x = 26,519,333,477.83/188,168.60
  6. Step 6: Final answer
    x = 140,933.89

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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.