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Finding the Fourth Proportional to 82,319.16, 123,479.88 and 54,418.44

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Solution

The fourth proportional to 82,319.16, 123,479.88 and 54,418.44 is: 81,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,319.16 : 123,479.88 = 54,418.44 : x
  2. Step 2: Convert to fraction form
    82,319.16/123,479.88 = 54,418.44/x
  3. Step 3: Cross multiply
    82,319.16x = 123,479.88 × 54,418.44
  4. Step 4: Simplify right side
    82,319.16x = 6,719,582,440.99
  5. Step 5: Solve for x
    x = 6,719,582,440.99/82,319.16
  6. Step 6: Final answer
    x = 81,628.41

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1.5x scale

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.