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Finding the Fourth Proportional to 77,040, 115,556.22 and 29,677.68

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Solution

The fourth proportional to 77,040, 115,556.22 and 29,677.68 is: 44,515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,040 : 115,556.22 = 29,677.68 : x
  2. Step 2: Convert to fraction form
    77,040/115,556.22 = 29,677.68/x
  3. Step 3: Cross multiply
    77,040x = 115,556.22 × 29,677.68
  4. Step 4: Simplify right side
    77,040x = 3,429,440,519.17
  5. Step 5: Solve for x
    x = 3,429,440,519.17/77,040
  6. Step 6: Final answer
    x = 44,515.06

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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.