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Finding the Fourth Proportional to 81,161.48, 121,743.48 and 28,571.60

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Solution

The fourth proportional to 81,161.48, 121,743.48 and 28,571.60 is: 42,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,161.48 : 121,743.48 = 28,571.60 : x
  2. Step 2: Convert to fraction form
    81,161.48/121,743.48 = 28,571.60/x
  3. Step 3: Cross multiply
    81,161.48x = 121,743.48 × 28,571.60
  4. Step 4: Simplify right side
    81,161.48x = 3,478,406,013.17
  5. Step 5: Solve for x
    x = 3,478,406,013.17/81,161.48
  6. Step 6: Final answer
    x = 42,857.84

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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.