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Finding the Fourth Proportional to 118,879.80, 164,053.08 and 65,164.65

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Solution

The fourth proportional to 118,879.80, 164,053.08 and 65,164.65 is: 89,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,879.80 : 164,053.08 = 65,164.65 : x
  2. Step 2: Convert to fraction form
    118,879.80/164,053.08 = 65,164.65/x
  3. Step 3: Cross multiply
    118,879.80x = 164,053.08 × 65,164.65
  4. Step 4: Simplify right side
    118,879.80x = 10,690,461,539.62
  5. Step 5: Solve for x
    x = 10,690,461,539.62/118,879.80
  6. Step 6: Final answer
    x = 89,926.64

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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.