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Finding the Fourth Proportional to 82,071.44, 123,107.16 and 63,378.80

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Solution

The fourth proportional to 82,071.44, 123,107.16 and 63,378.80 is: 95,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,071.44 : 123,107.16 = 63,378.80 : x
  2. Step 2: Convert to fraction form
    82,071.44/123,107.16 = 63,378.80/x
  3. Step 3: Cross multiply
    82,071.44x = 123,107.16 × 63,378.80
  4. Step 4: Simplify right side
    82,071.44x = 7,802,384,072.21
  5. Step 5: Solve for x
    x = 7,802,384,072.21/82,071.44
  6. Step 6: Final answer
    x = 95,068.20

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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.