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Finding the Fourth Proportional to 89,326, 133,810.38 and 53,767.60

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Solution

The fourth proportional to 89,326, 133,810.38 and 53,767.60 is: 80,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,326 : 133,810.38 = 53,767.60 : x
  2. Step 2: Convert to fraction form
    89,326/133,810.38 = 53,767.60/x
  3. Step 3: Cross multiply
    89,326x = 133,810.38 × 53,767.60
  4. Step 4: Simplify right side
    89,326x = 7,194,662,987.69
  5. Step 5: Solve for x
    x = 7,194,662,987.69/89,326
  6. Step 6: Final answer
    x = 80,543.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.