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Finding the Fourth Proportional to 242,961.20, 364,441.80 and 85,205.60

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Solution

The fourth proportional to 242,961.20, 364,441.80 and 85,205.60 is: 127,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,961.20 : 364,441.80 = 85,205.60 : x
  2. Step 2: Convert to fraction form
    242,961.20/364,441.80 = 85,205.60/x
  3. Step 3: Cross multiply
    242,961.20x = 364,441.80 × 85,205.60
  4. Step 4: Simplify right side
    242,961.20x = 31,052,482,234.08
  5. Step 5: Solve for x
    x = 31,052,482,234.08/242,961.20
  6. Step 6: Final answer
    x = 127,808.40

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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.