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Finding the Fourth Proportional to 136,287.78, 188,039.37 and 81,825.81

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Solution

The fourth proportional to 136,287.78, 188,039.37 and 81,825.81 is: 112,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,287.78 : 188,039.37 = 81,825.81 : x
  2. Step 2: Convert to fraction form
    136,287.78/188,039.37 = 81,825.81/x
  3. Step 3: Cross multiply
    136,287.78x = 188,039.37 × 81,825.81
  4. Step 4: Simplify right side
    136,287.78x = 15,386,473,762.14
  5. Step 5: Solve for x
    x = 15,386,473,762.14/136,287.78
  6. Step 6: Final answer
    x = 112,896.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.