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Finding the Fourth Proportional to 81,864, 122,816.16 and 26,460

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Solution

The fourth proportional to 81,864, 122,816.16 and 26,460 is: 39,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864 : 122,816.16 = 26,460 : x
  2. Step 2: Convert to fraction form
    81,864/122,816.16 = 26,460/x
  3. Step 3: Cross multiply
    81,864x = 122,816.16 × 26,460
  4. Step 4: Simplify right side
    81,864x = 3,249,715,593.60
  5. Step 5: Solve for x
    x = 3,249,715,593.60/81,864
  6. Step 6: Final answer
    x = 39,696.52

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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.