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Finding the Fourth Proportional to 118,918.14, 164,105.85 and 65,203.03

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Solution

The fourth proportional to 118,918.14, 164,105.85 and 65,203.03 is: 89,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,918.14 : 164,105.85 = 65,203.03 : x
  2. Step 2: Convert to fraction form
    118,918.14/164,105.85 = 65,203.03/x
  3. Step 3: Cross multiply
    118,918.14x = 164,105.85 × 65,203.03
  4. Step 4: Simplify right side
    118,918.14x = 10,700,197,820.51
  5. Step 5: Solve for x
    x = 10,700,197,820.51/118,918.14
  6. Step 6: Final answer
    x = 89,979.52

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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.