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Finding the Fourth Proportional to 120,122.88, 165,764.91 and 71,732.94

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Solution

The fourth proportional to 120,122.88, 165,764.91 and 71,732.94 is: 98,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,122.88 : 165,764.91 = 71,732.94 : x
  2. Step 2: Convert to fraction form
    120,122.88/165,764.91 = 71,732.94/x
  3. Step 3: Cross multiply
    120,122.88x = 165,764.91 × 71,732.94
  4. Step 4: Simplify right side
    120,122.88x = 11,890,804,343.14
  5. Step 5: Solve for x
    x = 11,890,804,343.14/120,122.88
  6. Step 6: Final answer
    x = 98,988.67

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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.