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Finding the Fourth Proportional to 118,101.20, 177,356.60 and 83,285.20

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Solution

The fourth proportional to 118,101.20, 177,356.60 and 83,285.20 is: 125,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,101.20 : 177,356.60 = 83,285.20 : x
  2. Step 2: Convert to fraction form
    118,101.20/177,356.60 = 83,285.20/x
  3. Step 3: Cross multiply
    118,101.20x = 177,356.60 × 83,285.20
  4. Step 4: Simplify right side
    118,101.20x = 14,771,179,902.32
  5. Step 5: Solve for x
    x = 14,771,179,902.32/118,101.20
  6. Step 6: Final answer
    x = 125,072.23

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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.