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Finding the Fourth Proportional to 203,570.30, 305,209.65 and 85,180.70

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Solution

The fourth proportional to 203,570.30, 305,209.65 and 85,180.70 is: 127,710.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,570.30 : 305,209.65 = 85,180.70 : x
  2. Step 2: Convert to fraction form
    203,570.30/305,209.65 = 85,180.70/x
  3. Step 3: Cross multiply
    203,570.30x = 305,209.65 × 85,180.70
  4. Step 4: Simplify right side
    203,570.30x = 25,997,971,633.76
  5. Step 5: Solve for x
    x = 25,997,971,633.76/203,570.30
  6. Step 6: Final answer
    x = 127,710.04

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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.