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Finding the Fourth Proportional to 78,388.84, 108,180.33 and 48,175.42

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Solution

The fourth proportional to 78,388.84, 108,180.33 and 48,175.42 is: 66,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,388.84 : 108,180.33 = 48,175.42 : x
  2. Step 2: Convert to fraction form
    78,388.84/108,180.33 = 48,175.42/x
  3. Step 3: Cross multiply
    78,388.84x = 108,180.33 × 48,175.42
  4. Step 4: Simplify right side
    78,388.84x = 5,211,632,833.49
  5. Step 5: Solve for x
    x = 5,211,632,833.49/78,388.84
  6. Step 6: Final answer
    x = 66,484.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.