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Finding the Fourth Proportional to 120,074.48, 165,723.36 and 69,802.64

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Solution

The fourth proportional to 120,074.48, 165,723.36 and 69,802.64 is: 96,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,074.48 : 165,723.36 = 69,802.64 : x
  2. Step 2: Convert to fraction form
    120,074.48/165,723.36 = 69,802.64/x
  3. Step 3: Cross multiply
    120,074.48x = 165,723.36 × 69,802.64
  4. Step 4: Simplify right side
    120,074.48x = 11,567,928,037.67
  5. Step 5: Solve for x
    x = 11,567,928,037.67/120,074.48
  6. Step 6: Final answer
    x = 96,339.61

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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.