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Finding the Fourth Proportional to 118,082.20, 177,008.10 and 105,640.60

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Solution

The fourth proportional to 118,082.20, 177,008.10 and 105,640.60 is: 158,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,082.20 : 177,008.10 = 105,640.60 : x
  2. Step 2: Convert to fraction form
    118,082.20/177,008.10 = 105,640.60/x
  3. Step 3: Cross multiply
    118,082.20x = 177,008.10 × 105,640.60
  4. Step 4: Simplify right side
    118,082.20x = 18,699,241,888.86
  5. Step 5: Solve for x
    x = 18,699,241,888.86/118,082.20
  6. Step 6: Final answer
    x = 158,357.84

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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.