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Finding the Fourth Proportional to 81,469.36, 112,434.96 and 47,476

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Solution

The fourth proportional to 81,469.36, 112,434.96 and 47,476 is: 65,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,469.36 : 112,434.96 = 47,476 : x
  2. Step 2: Convert to fraction form
    81,469.36/112,434.96 = 47,476/x
  3. Step 3: Cross multiply
    81,469.36x = 112,434.96 × 47,476
  4. Step 4: Simplify right side
    81,469.36x = 5,337,962,160.96
  5. Step 5: Solve for x
    x = 5,337,962,160.96/81,469.36
  6. Step 6: Final answer
    x = 65,521.10

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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.