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Finding the Fourth Proportional to 68,382.72, 102,574.08 and 54,619.20

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Solution

The fourth proportional to 68,382.72, 102,574.08 and 54,619.20 is: 81,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,382.72 : 102,574.08 = 54,619.20 : x
  2. Step 2: Convert to fraction form
    68,382.72/102,574.08 = 54,619.20/x
  3. Step 3: Cross multiply
    68,382.72x = 102,574.08 × 54,619.20
  4. Step 4: Simplify right side
    68,382.72x = 5,602,514,190.34
  5. Step 5: Solve for x
    x = 5,602,514,190.34/68,382.72
  6. Step 6: Final answer
    x = 81,928.80

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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.