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Finding the Fourth Proportional to 118,921.60, 178,231.20 and 48,721.60

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Solution

The fourth proportional to 118,921.60, 178,231.20 and 48,721.60 is: 73,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,921.60 : 178,231.20 = 48,721.60 : x
  2. Step 2: Convert to fraction form
    118,921.60/178,231.20 = 48,721.60/x
  3. Step 3: Cross multiply
    118,921.60x = 178,231.20 × 48,721.60
  4. Step 4: Simplify right side
    118,921.60x = 8,683,709,233.92
  5. Step 5: Solve for x
    x = 8,683,709,233.92/118,921.60
  6. Step 6: Final answer
    x = 73,020.45

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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.