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Finding the Fourth Proportional to 120,129.38, 180,191.79 and 35,889.78

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Solution

The fourth proportional to 120,129.38, 180,191.79 and 35,889.78 is: 53,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,129.38 : 180,191.79 = 35,889.78 : x
  2. Step 2: Convert to fraction form
    120,129.38/180,191.79 = 35,889.78/x
  3. Step 3: Cross multiply
    120,129.38x = 180,191.79 × 35,889.78
  4. Step 4: Simplify right side
    120,129.38x = 6,467,044,376.63
  5. Step 5: Solve for x
    x = 6,467,044,376.63/120,129.38
  6. Step 6: Final answer
    x = 53,834.00

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1.5x scale

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.