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Finding the Fourth Proportional to 118,668.72, 177,877.94 and 81,218.78

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Solution

The fourth proportional to 118,668.72, 177,877.94 and 81,218.78 is: 121,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,668.72 : 177,877.94 = 81,218.78 : x
  2. Step 2: Convert to fraction form
    118,668.72/177,877.94 = 81,218.78/x
  3. Step 3: Cross multiply
    118,668.72x = 177,877.94 × 81,218.78
  4. Step 4: Simplify right side
    118,668.72x = 14,447,027,980.23
  5. Step 5: Solve for x
    x = 14,447,027,980.23/118,668.72
  6. Step 6: Final answer
    x = 121,742.51

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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.