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Finding the Fourth Proportional to 54,394, 81,602.70 and 16,953.28

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Solution

The fourth proportional to 54,394, 81,602.70 and 16,953.28 is: 25,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,394 : 81,602.70 = 16,953.28 : x
  2. Step 2: Convert to fraction form
    54,394/81,602.70 = 16,953.28/x
  3. Step 3: Cross multiply
    54,394x = 81,602.70 × 16,953.28
  4. Step 4: Simplify right side
    54,394x = 1,383,433,421.86
  5. Step 5: Solve for x
    x = 1,383,433,421.86/54,394
  6. Step 6: Final answer
    x = 25,433.57

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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.