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Finding the Fourth Proportional to 81,378, 112,292.19 and 47,393.91

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Solution

The fourth proportional to 81,378, 112,292.19 and 47,393.91 is: 65,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,378 : 112,292.19 = 47,393.91 : x
  2. Step 2: Convert to fraction form
    81,378/112,292.19 = 47,393.91/x
  3. Step 3: Cross multiply
    81,378x = 112,292.19 × 47,393.91
  4. Step 4: Simplify right side
    81,378x = 5,321,965,946.56
  5. Step 5: Solve for x
    x = 5,321,965,946.56/81,378
  6. Step 6: Final answer
    x = 65,398.09

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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.