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Finding the Fourth Proportional to 81,963.21, 113,109.10 and 46,153.48

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Solution

The fourth proportional to 81,963.21, 113,109.10 and 46,153.48 is: 63,691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,963.21 : 113,109.10 = 46,153.48 : x
  2. Step 2: Convert to fraction form
    81,963.21/113,109.10 = 46,153.48/x
  3. Step 3: Cross multiply
    81,963.21x = 113,109.10 × 46,153.48
  4. Step 4: Simplify right side
    81,963.21x = 5,220,378,711.22
  5. Step 5: Solve for x
    x = 5,220,378,711.22/81,963.21
  6. Step 6: Final answer
    x = 63,691.73

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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.