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Finding the Fourth Proportional to 57,619.80, 86,429.70 and 54,339.30

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Solution

The fourth proportional to 57,619.80, 86,429.70 and 54,339.30 is: 81,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,619.80 : 86,429.70 = 54,339.30 : x
  2. Step 2: Convert to fraction form
    57,619.80/86,429.70 = 54,339.30/x
  3. Step 3: Cross multiply
    57,619.80x = 86,429.70 × 54,339.30
  4. Step 4: Simplify right side
    57,619.80x = 4,696,529,397.21
  5. Step 5: Solve for x
    x = 4,696,529,397.21/57,619.80
  6. Step 6: Final answer
    x = 81,508.95

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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.