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Finding the Fourth Proportional to 82,642, 124,412.64 and 75,293.68

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Solution

The fourth proportional to 82,642, 124,412.64 and 75,293.68 is: 113,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,642 : 124,412.64 = 75,293.68 : x
  2. Step 2: Convert to fraction form
    82,642/124,412.64 = 75,293.68/x
  3. Step 3: Cross multiply
    82,642x = 124,412.64 × 75,293.68
  4. Step 4: Simplify right side
    82,642x = 9,367,485,504.12
  5. Step 5: Solve for x
    x = 9,367,485,504.12/82,642
  6. Step 6: Final answer
    x = 113,350.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.