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Finding the Fourth Proportional to 39,156, 54,080.14 and 25,787

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Solution

The fourth proportional to 39,156, 54,080.14 and 25,787 is: 35,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,156 : 54,080.14 = 25,787 : x
  2. Step 2: Convert to fraction form
    39,156/54,080.14 = 25,787/x
  3. Step 3: Cross multiply
    39,156x = 54,080.14 × 25,787
  4. Step 4: Simplify right side
    39,156x = 1,394,564,570.18
  5. Step 5: Solve for x
    x = 1,394,564,570.18/39,156
  6. Step 6: Final answer
    x = 35,615.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.