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Finding the Fourth Proportional to 99,821.28, 137,754 and 55,109.28

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Solution

The fourth proportional to 99,821.28, 137,754 and 55,109.28 is: 76,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,821.28 : 137,754 = 55,109.28 : x
  2. Step 2: Convert to fraction form
    99,821.28/137,754 = 55,109.28/x
  3. Step 3: Cross multiply
    99,821.28x = 137,754 × 55,109.28
  4. Step 4: Simplify right side
    99,821.28x = 7,591,523,757.12
  5. Step 5: Solve for x
    x = 7,591,523,757.12/99,821.28
  6. Step 6: Final answer
    x = 76,051.16

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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.