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Finding the Fourth Proportional to 81,548, 112,536.48 and 47,579.84

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Solution

The fourth proportional to 81,548, 112,536.48 and 47,579.84 is: 65,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,548 : 112,536.48 = 47,579.84 : x
  2. Step 2: Convert to fraction form
    81,548/112,536.48 = 47,579.84/x
  3. Step 3: Cross multiply
    81,548x = 112,536.48 × 47,579.84
  4. Step 4: Simplify right side
    81,548x = 5,354,467,712.56
  5. Step 5: Solve for x
    x = 5,354,467,712.56/81,548
  6. Step 6: Final answer
    x = 65,660.32

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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.