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Finding the Fourth Proportional to 118,919.64, 164,104.66 and 65,203.40

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Solution

The fourth proportional to 118,919.64, 164,104.66 and 65,203.40 is: 89,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,919.64 : 164,104.66 = 65,203.40 : x
  2. Step 2: Convert to fraction form
    118,919.64/164,104.66 = 65,203.40/x
  3. Step 3: Cross multiply
    118,919.64x = 164,104.66 × 65,203.40
  4. Step 4: Simplify right side
    118,919.64x = 10,700,181,787.84
  5. Step 5: Solve for x
    x = 10,700,181,787.84/118,919.64
  6. Step 6: Final answer
    x = 89,978.26

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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.