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Finding the Fourth Proportional to 118,586.16, 163,371.78 and 82,712.16

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Solution

The fourth proportional to 118,586.16, 163,371.78 and 82,712.16 is: 113,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,586.16 : 163,371.78 = 82,712.16 : x
  2. Step 2: Convert to fraction form
    118,586.16/163,371.78 = 82,712.16/x
  3. Step 3: Cross multiply
    118,586.16x = 163,371.78 × 82,712.16
  4. Step 4: Simplify right side
    118,586.16x = 13,512,832,806.84
  5. Step 5: Solve for x
    x = 13,512,832,806.84/118,586.16
  6. Step 6: Final answer
    x = 113,949.49

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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.