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Finding the Fourth Proportional to 118,641.62, 177,765.39 and 83,507.38

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Solution

The fourth proportional to 118,641.62, 177,765.39 and 83,507.38 is: 125,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,641.62 : 177,765.39 = 83,507.38 : x
  2. Step 2: Convert to fraction form
    118,641.62/177,765.39 = 83,507.38/x
  3. Step 3: Cross multiply
    118,641.62x = 177,765.39 × 83,507.38
  4. Step 4: Simplify right side
    118,641.62x = 14,844,721,973.58
  5. Step 5: Solve for x
    x = 14,844,721,973.58/118,641.62
  6. Step 6: Final answer
    x = 125,122.38

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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.