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Finding the Fourth Proportional to 78,556.76, 117,835.14 and 55,287.08

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Solution

The fourth proportional to 78,556.76, 117,835.14 and 55,287.08 is: 82,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,556.76 : 117,835.14 = 55,287.08 : x
  2. Step 2: Convert to fraction form
    78,556.76/117,835.14 = 55,287.08/x
  3. Step 3: Cross multiply
    78,556.76x = 117,835.14 × 55,287.08
  4. Step 4: Simplify right side
    78,556.76x = 6,514,760,811.99
  5. Step 5: Solve for x
    x = 6,514,760,811.99/78,556.76
  6. Step 6: Final answer
    x = 82,930.62

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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.