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Finding the Fourth Proportional to 155,696.64, 214,816.89 and 87,689.80

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Solution

The fourth proportional to 155,696.64, 214,816.89 and 87,689.80 is: 120,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,696.64 : 214,816.89 = 87,689.80 : x
  2. Step 2: Convert to fraction form
    155,696.64/214,816.89 = 87,689.80/x
  3. Step 3: Cross multiply
    155,696.64x = 214,816.89 × 87,689.80
  4. Step 4: Simplify right side
    155,696.64x = 18,837,250,120.72
  5. Step 5: Solve for x
    x = 18,837,250,120.72/155,696.64
  6. Step 6: Final answer
    x = 120,986.88

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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.