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Finding the Fourth Proportional to 83,160, 124,741.08 and 27,756

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Solution

The fourth proportional to 83,160, 124,741.08 and 27,756 is: 41,634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,160 : 124,741.08 = 27,756 : x
  2. Step 2: Convert to fraction form
    83,160/124,741.08 = 27,756/x
  3. Step 3: Cross multiply
    83,160x = 124,741.08 × 27,756
  4. Step 4: Simplify right side
    83,160x = 3,462,313,416.48
  5. Step 5: Solve for x
    x = 3,462,313,416.48/83,160
  6. Step 6: Final answer
    x = 41,634.36

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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.