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Finding the Fourth Proportional to 99,709.36, 149,461.44 and 43,538.97

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Solution

The fourth proportional to 99,709.36, 149,461.44 and 43,538.97 is: 65,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,709.36 : 149,461.44 = 43,538.97 : x
  2. Step 2: Convert to fraction form
    99,709.36/149,461.44 = 43,538.97/x
  3. Step 3: Cross multiply
    99,709.36x = 149,461.44 × 43,538.97
  4. Step 4: Simplify right side
    99,709.36x = 6,507,396,405.01
  5. Step 5: Solve for x
    x = 6,507,396,405.01/99,709.36
  6. Step 6: Final answer
    x = 65,263.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.