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Finding the Fourth Proportional to 120,157.16, 165,791.22 and 69,829.16

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Solution

The fourth proportional to 120,157.16, 165,791.22 and 69,829.16 is: 96,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157.16 : 165,791.22 = 69,829.16 : x
  2. Step 2: Convert to fraction form
    120,157.16/165,791.22 = 69,829.16/x
  3. Step 3: Cross multiply
    120,157.16x = 165,791.22 × 69,829.16
  4. Step 4: Simplify right side
    120,157.16x = 11,577,061,627.98
  5. Step 5: Solve for x
    x = 11,577,061,627.98/120,157.16
  6. Step 6: Final answer
    x = 96,349.33

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1.5x scale

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.