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Finding the Fourth Proportional to 120,307.94, 165,986.79 and 69,997.22

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Solution

The fourth proportional to 120,307.94, 165,986.79 and 69,997.22 is: 96,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,307.94 : 165,986.79 = 69,997.22 : x
  2. Step 2: Convert to fraction form
    120,307.94/165,986.79 = 69,997.22/x
  3. Step 3: Cross multiply
    120,307.94x = 165,986.79 × 69,997.22
  4. Step 4: Simplify right side
    120,307.94x = 11,618,613,856.72
  5. Step 5: Solve for x
    x = 11,618,613,856.72/120,307.94
  6. Step 6: Final answer
    x = 96,573.96

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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.