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Finding the Fourth Proportional to 120,608.34, 180,887.10 and 77,785.50

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Solution

The fourth proportional to 120,608.34, 180,887.10 and 77,785.50 is: 116,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,608.34 : 180,887.10 = 77,785.50 : x
  2. Step 2: Convert to fraction form
    120,608.34/180,887.10 = 77,785.50/x
  3. Step 3: Cross multiply
    120,608.34x = 180,887.10 × 77,785.50
  4. Step 4: Simplify right side
    120,608.34x = 14,070,393,517.05
  5. Step 5: Solve for x
    x = 14,070,393,517.05/120,608.34
  6. Step 6: Final answer
    x = 116,661.86

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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.