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Finding the Fourth Proportional to 78,507.69, 117,743.85 and 22,346.56

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Solution

The fourth proportional to 78,507.69, 117,743.85 and 22,346.56 is: 33,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,507.69 : 117,743.85 = 22,346.56 : x
  2. Step 2: Convert to fraction form
    78,507.69/117,743.85 = 22,346.56/x
  3. Step 3: Cross multiply
    78,507.69x = 117,743.85 × 22,346.56
  4. Step 4: Simplify right side
    78,507.69x = 2,631,169,451.63
  5. Step 5: Solve for x
    x = 2,631,169,451.63/78,507.69
  6. Step 6: Final answer
    x = 33,514.80

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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.