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Finding the Fourth Proportional to 81,872, 112,983.36 and 46,544

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Solution

The fourth proportional to 81,872, 112,983.36 and 46,544 is: 64,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,872 : 112,983.36 = 46,544 : x
  2. Step 2: Convert to fraction form
    81,872/112,983.36 = 46,544/x
  3. Step 3: Cross multiply
    81,872x = 112,983.36 × 46,544
  4. Step 4: Simplify right side
    81,872x = 5,258,697,507.84
  5. Step 5: Solve for x
    x = 5,258,697,507.84/81,872
  6. Step 6: Final answer
    x = 64,230.72

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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.