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Finding the Fourth Proportional to 54,935, 82,353.63 and 19,866.86

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Solution

The fourth proportional to 54,935, 82,353.63 and 19,866.86 is: 29,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,935 : 82,353.63 = 19,866.86 : x
  2. Step 2: Convert to fraction form
    54,935/82,353.63 = 19,866.86/x
  3. Step 3: Cross multiply
    54,935x = 82,353.63 × 19,866.86
  4. Step 4: Simplify right side
    54,935x = 1,636,108,037.70
  5. Step 5: Solve for x
    x = 1,636,108,037.70/54,935
  6. Step 6: Final answer
    x = 29,782.62

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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.