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Finding the Fourth Proportional to 158,256, 218,393.76 and 86,636.64

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Solution

The fourth proportional to 158,256, 218,393.76 and 86,636.64 is: 119,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,256 : 218,393.76 = 86,636.64 : x
  2. Step 2: Convert to fraction form
    158,256/218,393.76 = 86,636.64/x
  3. Step 3: Cross multiply
    158,256x = 218,393.76 × 86,636.64
  4. Step 4: Simplify right side
    158,256x = 18,920,901,563.37
  5. Step 5: Solve for x
    x = 18,920,901,563.37/158,256
  6. Step 6: Final answer
    x = 119,558.83

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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.