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Finding the Fourth Proportional to 82,388.13, 113,585.65 and 65,448.60

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Solution

The fourth proportional to 82,388.13, 113,585.65 and 65,448.60 is: 90,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,388.13 : 113,585.65 = 65,448.60 : x
  2. Step 2: Convert to fraction form
    82,388.13/113,585.65 = 65,448.60/x
  3. Step 3: Cross multiply
    82,388.13x = 113,585.65 × 65,448.60
  4. Step 4: Simplify right side
    82,388.13x = 7,434,021,772.59
  5. Step 5: Solve for x
    x = 7,434,021,772.59/82,388.13
  6. Step 6: Final answer
    x = 90,231.71

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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.