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Finding the Fourth Proportional to 118,914.64, 164,097.76 and 65,198.40

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Solution

The fourth proportional to 118,914.64, 164,097.76 and 65,198.40 is: 89,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,914.64 : 164,097.76 = 65,198.40 : x
  2. Step 2: Convert to fraction form
    118,914.64/164,097.76 = 65,198.40/x
  3. Step 3: Cross multiply
    118,914.64x = 164,097.76 × 65,198.40
  4. Step 4: Simplify right side
    118,914.64x = 10,698,911,395.58
  5. Step 5: Solve for x
    x = 10,698,911,395.58/118,914.64
  6. Step 6: Final answer
    x = 89,971.36

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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.