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Finding the Fourth Proportional to 120,179.94, 165,829.88 and 69,182.81

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Solution

The fourth proportional to 120,179.94, 165,829.88 and 69,182.81 is: 95,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,179.94 : 165,829.88 = 69,182.81 : x
  2. Step 2: Convert to fraction form
    120,179.94/165,829.88 = 69,182.81/x
  3. Step 3: Cross multiply
    120,179.94x = 165,829.88 × 69,182.81
  4. Step 4: Simplify right side
    120,179.94x = 11,472,577,080.36
  5. Step 5: Solve for x
    x = 11,472,577,080.36/120,179.94
  6. Step 6: Final answer
    x = 95,461.66

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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.