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Finding the Fourth Proportional to 76,708.62, 115,055.64 and 26,779.41

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Solution

The fourth proportional to 76,708.62, 115,055.64 and 26,779.41 is: 40,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,708.62 : 115,055.64 = 26,779.41 : x
  2. Step 2: Convert to fraction form
    76,708.62/115,055.64 = 26,779.41/x
  3. Step 3: Cross multiply
    76,708.62x = 115,055.64 × 26,779.41
  4. Step 4: Simplify right side
    76,708.62x = 3,081,122,156.37
  5. Step 5: Solve for x
    x = 3,081,122,156.37/76,708.62
  6. Step 6: Final answer
    x = 40,166.57

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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.