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Finding the Fourth Proportional to 118,843.76, 178,068 and 83,709.20

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Solution

The fourth proportional to 118,843.76, 178,068 and 83,709.20 is: 125,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,843.76 : 178,068 = 83,709.20 : x
  2. Step 2: Convert to fraction form
    118,843.76/178,068 = 83,709.20/x
  3. Step 3: Cross multiply
    118,843.76x = 178,068 × 83,709.20
  4. Step 4: Simplify right side
    118,843.76x = 14,905,929,825.60
  5. Step 5: Solve for x
    x = 14,905,929,825.60/118,843.76
  6. Step 6: Final answer
    x = 125,424.59

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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.