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Finding the Fourth Proportional to 81,103.84, 111,937.86 and 48,400.36

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Solution

The fourth proportional to 81,103.84, 111,937.86 and 48,400.36 is: 66,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,103.84 : 111,937.86 = 48,400.36 : x
  2. Step 2: Convert to fraction form
    81,103.84/111,937.86 = 48,400.36/x
  3. Step 3: Cross multiply
    81,103.84x = 111,937.86 × 48,400.36
  4. Step 4: Simplify right side
    81,103.84x = 5,417,832,721.63
  5. Step 5: Solve for x
    x = 5,417,832,721.63/81,103.84
  6. Step 6: Final answer
    x = 66,801.19

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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.