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Finding the Fourth Proportional to 81,682.32, 112,721.44 and 47,714.16

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Solution

The fourth proportional to 81,682.32, 112,721.44 and 47,714.16 is: 65,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,682.32 : 112,721.44 = 47,714.16 : x
  2. Step 2: Convert to fraction form
    81,682.32/112,721.44 = 47,714.16/x
  3. Step 3: Cross multiply
    81,682.32x = 112,721.44 × 47,714.16
  4. Step 4: Simplify right side
    81,682.32x = 5,378,408,823.59
  5. Step 5: Solve for x
    x = 5,378,408,823.59/81,682.32
  6. Step 6: Final answer
    x = 65,845.45

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1.5x scale

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.