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Finding the Fourth Proportional to 76,866.66, 115,296.69 and 26,270.22

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Solution

The fourth proportional to 76,866.66, 115,296.69 and 26,270.22 is: 39,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,866.66 : 115,296.69 = 26,270.22 : x
  2. Step 2: Convert to fraction form
    76,866.66/115,296.69 = 26,270.22/x
  3. Step 3: Cross multiply
    76,866.66x = 115,296.69 × 26,270.22
  4. Step 4: Simplify right side
    76,866.66x = 3,028,869,411.57
  5. Step 5: Solve for x
    x = 3,028,869,411.57/76,866.66
  6. Step 6: Final answer
    x = 39,404.20

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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.