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Finding the Fourth Proportional to 120,124.62, 180,191.49 and 35,885.94

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Solution

The fourth proportional to 120,124.62, 180,191.49 and 35,885.94 is: 53,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,124.62 : 180,191.49 = 35,885.94 : x
  2. Step 2: Convert to fraction form
    120,124.62/180,191.49 = 35,885.94/x
  3. Step 3: Cross multiply
    120,124.62x = 180,191.49 × 35,885.94
  4. Step 4: Simplify right side
    120,124.62x = 6,466,340,188.36
  5. Step 5: Solve for x
    x = 6,466,340,188.36/120,124.62
  6. Step 6: Final answer
    x = 53,830.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.