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Finding the Fourth Proportional to 82,638, 124,406.64 and 75,289.68

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Solution

The fourth proportional to 82,638, 124,406.64 and 75,289.68 is: 113,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,638 : 124,406.64 = 75,289.68 : x
  2. Step 2: Convert to fraction form
    82,638/124,406.64 = 75,289.68/x
  3. Step 3: Cross multiply
    82,638x = 124,406.64 × 75,289.68
  4. Step 4: Simplify right side
    82,638x = 9,366,536,115.48
  5. Step 5: Solve for x
    x = 9,366,536,115.48/82,638
  6. Step 6: Final answer
    x = 113,344.18

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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.