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Finding the Fourth Proportional to 81,872.64, 112,983.68 and 46,544.64

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Solution

The fourth proportional to 81,872.64, 112,983.68 and 46,544.64 is: 64,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,872.64 : 112,983.68 = 46,544.64 : x
  2. Step 2: Convert to fraction form
    81,872.64/112,983.68 = 46,544.64/x
  3. Step 3: Cross multiply
    81,872.64x = 112,983.68 × 46,544.64
  4. Step 4: Simplify right side
    81,872.64x = 5,258,784,711.48
  5. Step 5: Solve for x
    x = 5,258,784,711.48/81,872.64
  6. Step 6: Final answer
    x = 64,231.28

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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.