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Finding the Fourth Proportional to 127,394.64, 175,639.32 and 81,991.44

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Solution

The fourth proportional to 127,394.64, 175,639.32 and 81,991.44 is: 113,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,394.64 : 175,639.32 = 81,991.44 : x
  2. Step 2: Convert to fraction form
    127,394.64/175,639.32 = 81,991.44/x
  3. Step 3: Cross multiply
    127,394.64x = 175,639.32 × 81,991.44
  4. Step 4: Simplify right side
    127,394.64x = 14,400,920,767.42
  5. Step 5: Solve for x
    x = 14,400,920,767.42/127,394.64
  6. Step 6: Final answer
    x = 113,041.81

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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.