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Finding the Fourth Proportional to 118,652.76, 177,999.66 and 39,774.60

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Solution

The fourth proportional to 118,652.76, 177,999.66 and 39,774.60 is: 59,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,652.76 : 177,999.66 = 39,774.60 : x
  2. Step 2: Convert to fraction form
    118,652.76/177,999.66 = 39,774.60/x
  3. Step 3: Cross multiply
    118,652.76x = 177,999.66 × 39,774.60
  4. Step 4: Simplify right side
    118,652.76x = 7,079,865,276.64
  5. Step 5: Solve for x
    x = 7,079,865,276.64/118,652.76
  6. Step 6: Final answer
    x = 59,668.78

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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.