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Finding the Fourth Proportional to 120,072.48, 165,720.60 and 69,800.64

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Solution

The fourth proportional to 120,072.48, 165,720.60 and 69,800.64 is: 96,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,072.48 : 165,720.60 = 69,800.64 : x
  2. Step 2: Convert to fraction form
    120,072.48/165,720.60 = 69,800.64/x
  3. Step 3: Cross multiply
    120,072.48x = 165,720.60 × 69,800.64
  4. Step 4: Simplify right side
    120,072.48x = 11,567,403,941.18
  5. Step 5: Solve for x
    x = 11,567,403,941.18/120,072.48
  6. Step 6: Final answer
    x = 96,336.85

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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.