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Finding the Fourth Proportional to 136,259.92, 188,042.28 and 75,834.64

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Solution

The fourth proportional to 136,259.92, 188,042.28 and 75,834.64 is: 104,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,259.92 : 188,042.28 = 75,834.64 : x
  2. Step 2: Convert to fraction form
    136,259.92/188,042.28 = 75,834.64/x
  3. Step 3: Cross multiply
    136,259.92x = 188,042.28 × 75,834.64
  4. Step 4: Simplify right side
    136,259.92x = 14,260,118,608.58
  5. Step 5: Solve for x
    x = 14,260,118,608.58/136,259.92
  6. Step 6: Final answer
    x = 104,653.80

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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.