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Finding the Fourth Proportional to 118,909.10, 164,093.09 and 65,194.16

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Solution

The fourth proportional to 118,909.10, 164,093.09 and 65,194.16 is: 89,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,909.10 : 164,093.09 = 65,194.16 : x
  2. Step 2: Convert to fraction form
    118,909.10/164,093.09 = 65,194.16/x
  3. Step 3: Cross multiply
    118,909.10x = 164,093.09 × 65,194.16
  4. Step 4: Simplify right side
    118,909.10x = 10,697,910,017.92
  5. Step 5: Solve for x
    x = 10,697,910,017.92/118,909.10
  6. Step 6: Final answer
    x = 89,967.13

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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.