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Finding the Fourth Proportional to 120,137.57, 165,781.71 and 66,415.34

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Solution

The fourth proportional to 120,137.57, 165,781.71 and 66,415.34 is: 91,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,137.57 : 165,781.71 = 66,415.34 : x
  2. Step 2: Convert to fraction form
    120,137.57/165,781.71 = 66,415.34/x
  3. Step 3: Cross multiply
    120,137.57x = 165,781.71 × 66,415.34
  4. Step 4: Simplify right side
    120,137.57x = 11,010,447,806.52
  5. Step 5: Solve for x
    x = 11,010,447,806.52/120,137.57
  6. Step 6: Final answer
    x = 91,648.67

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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.