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Finding the Fourth Proportional to 54,900, 82,350.72 and 17,964

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Solution

The fourth proportional to 54,900, 82,350.72 and 17,964 is: 26,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,900 : 82,350.72 = 17,964 : x
  2. Step 2: Convert to fraction form
    54,900/82,350.72 = 17,964/x
  3. Step 3: Cross multiply
    54,900x = 82,350.72 × 17,964
  4. Step 4: Simplify right side
    54,900x = 1,479,348,334.08
  5. Step 5: Solve for x
    x = 1,479,348,334.08/54,900
  6. Step 6: Final answer
    x = 26,946.24

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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.