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Finding the Fourth Proportional to 118,903.15, 163,963.87 and 83,080.09

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Solution

The fourth proportional to 118,903.15, 163,963.87 and 83,080.09 is: 114,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,903.15 : 163,963.87 = 83,080.09 : x
  2. Step 2: Convert to fraction form
    118,903.15/163,963.87 = 83,080.09/x
  3. Step 3: Cross multiply
    118,903.15x = 163,963.87 × 83,080.09
  4. Step 4: Simplify right side
    118,903.15x = 13,622,133,076.35
  5. Step 5: Solve for x
    x = 13,622,133,076.35/118,903.15
  6. Step 6: Final answer
    x = 114,564.95

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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.