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Finding the Fourth Proportional to 120,004.83, 165,599.81 and 71,661.32

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Solution

The fourth proportional to 120,004.83, 165,599.81 and 71,661.32 is: 98,888.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,004.83 : 165,599.81 = 71,661.32 : x
  2. Step 2: Convert to fraction form
    120,004.83/165,599.81 = 71,661.32/x
  3. Step 3: Cross multiply
    120,004.83x = 165,599.81 × 71,661.32
  4. Step 4: Simplify right side
    120,004.83x = 11,867,099,790.04
  5. Step 5: Solve for x
    x = 11,867,099,790.04/120,004.83
  6. Step 6: Final answer
    x = 98,888.52

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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.