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Finding the Fourth Proportional to 99,509.82, 149,323.05 and 71,399.58

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Solution

The fourth proportional to 99,509.82, 149,323.05 and 71,399.58 is: 107,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,509.82 : 149,323.05 = 71,399.58 : x
  2. Step 2: Convert to fraction form
    99,509.82/149,323.05 = 71,399.58/x
  3. Step 3: Cross multiply
    99,509.82x = 149,323.05 × 71,399.58
  4. Step 4: Simplify right side
    99,509.82x = 10,661,603,054.32
  5. Step 5: Solve for x
    x = 10,661,603,054.32/99,509.82
  6. Step 6: Final answer
    x = 107,141.22

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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.