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Finding the Fourth Proportional to 82,880, 124,339.68 and 27,476

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Solution

The fourth proportional to 82,880, 124,339.68 and 27,476 is: 41,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,880 : 124,339.68 = 27,476 : x
  2. Step 2: Convert to fraction form
    82,880/124,339.68 = 27,476/x
  3. Step 3: Cross multiply
    82,880x = 124,339.68 × 27,476
  4. Step 4: Simplify right side
    82,880x = 3,416,357,047.68
  5. Step 5: Solve for x
    x = 3,416,357,047.68/82,880
  6. Step 6: Final answer
    x = 41,220.52

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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.