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Finding the Fourth Proportional to 118,142.84, 177,013.66 and 71,297.28

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Solution

The fourth proportional to 118,142.84, 177,013.66 and 71,297.28 is: 106,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,142.84 : 177,013.66 = 71,297.28 : x
  2. Step 2: Convert to fraction form
    118,142.84/177,013.66 = 71,297.28/x
  3. Step 3: Cross multiply
    118,142.84x = 177,013.66 × 71,297.28
  4. Step 4: Simplify right side
    118,142.84x = 12,620,592,480.84
  5. Step 5: Solve for x
    x = 12,620,592,480.84/118,142.84
  6. Step 6: Final answer
    x = 106,824.86

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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.