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Finding the Fourth Proportional to 205,357.70, 308,082.45 and 72,242.30

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Solution

The fourth proportional to 205,357.70, 308,082.45 and 72,242.30 is: 108,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,357.70 : 308,082.45 = 72,242.30 : x
  2. Step 2: Convert to fraction form
    205,357.70/308,082.45 = 72,242.30/x
  3. Step 3: Cross multiply
    205,357.70x = 308,082.45 × 72,242.30
  4. Step 4: Simplify right side
    205,357.70x = 22,256,584,777.64
  5. Step 5: Solve for x
    x = 22,256,584,777.64/205,357.70
  6. Step 6: Final answer
    x = 108,379.60

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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.