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Finding the Fourth Proportional to 118,118.48, 177,200.56 and 38,178

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Solution

The fourth proportional to 118,118.48, 177,200.56 and 38,178 is: 57,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,118.48 : 177,200.56 = 38,178 : x
  2. Step 2: Convert to fraction form
    118,118.48/177,200.56 = 38,178/x
  3. Step 3: Cross multiply
    118,118.48x = 177,200.56 × 38,178
  4. Step 4: Simplify right side
    118,118.48x = 6,765,162,979.68
  5. Step 5: Solve for x
    x = 6,765,162,979.68/118,118.48
  6. Step 6: Final answer
    x = 57,274.38

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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.