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Finding the Fourth Proportional to 118,918.64, 164,103.28 and 65,202.40

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Solution

The fourth proportional to 118,918.64, 164,103.28 and 65,202.40 is: 89,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,918.64 : 164,103.28 = 65,202.40 : x
  2. Step 2: Convert to fraction form
    118,918.64/164,103.28 = 65,202.40/x
  3. Step 3: Cross multiply
    118,918.64x = 164,103.28 × 65,202.40
  4. Step 4: Simplify right side
    118,918.64x = 10,699,927,703.87
  5. Step 5: Solve for x
    x = 10,699,927,703.87/118,918.64
  6. Step 6: Final answer
    x = 89,976.88

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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.