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Finding the Fourth Proportional to 99,806.50, 137,741.61 and 55,103.14

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Solution

The fourth proportional to 99,806.50, 137,741.61 and 55,103.14 is: 76,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,806.50 : 137,741.61 = 55,103.14 : x
  2. Step 2: Convert to fraction form
    99,806.50/137,741.61 = 55,103.14/x
  3. Step 3: Cross multiply
    99,806.50x = 137,741.61 × 55,103.14
  4. Step 4: Simplify right side
    99,806.50x = 7,589,995,219.66
  5. Step 5: Solve for x
    x = 7,589,995,219.66/99,806.50
  6. Step 6: Final answer
    x = 76,047.10

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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.