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Finding the Fourth Proportional to 54,970.20, 82,455.30 and 19,905.30

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Solution

The fourth proportional to 54,970.20, 82,455.30 and 19,905.30 is: 29,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,970.20 : 82,455.30 = 19,905.30 : x
  2. Step 2: Convert to fraction form
    54,970.20/82,455.30 = 19,905.30/x
  3. Step 3: Cross multiply
    54,970.20x = 82,455.30 × 19,905.30
  4. Step 4: Simplify right side
    54,970.20x = 1,641,297,483.09
  5. Step 5: Solve for x
    x = 1,641,297,483.09/54,970.20
  6. Step 6: Final answer
    x = 29,857.95

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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.