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Finding the Fourth Proportional to 118,905.76, 178,388.40 and 83,913.76

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Solution

The fourth proportional to 118,905.76, 178,388.40 and 83,913.76 is: 125,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,905.76 : 178,388.40 = 83,913.76 : x
  2. Step 2: Convert to fraction form
    118,905.76/178,388.40 = 83,913.76/x
  3. Step 3: Cross multiply
    118,905.76x = 178,388.40 × 83,913.76
  4. Step 4: Simplify right side
    118,905.76x = 14,969,241,384.38
  5. Step 5: Solve for x
    x = 14,969,241,384.38/118,905.76
  6. Step 6: Final answer
    x = 125,891.64

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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.