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Finding the Fourth Proportional to 79,830, 119,765.34 and 23,672.16

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Solution

The fourth proportional to 79,830, 119,765.34 and 23,672.16 is: 35,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,830 : 119,765.34 = 23,672.16 : x
  2. Step 2: Convert to fraction form
    79,830/119,765.34 = 23,672.16/x
  3. Step 3: Cross multiply
    79,830x = 119,765.34 × 23,672.16
  4. Step 4: Simplify right side
    79,830x = 2,835,104,290.93
  5. Step 5: Solve for x
    x = 2,835,104,290.93/79,830
  6. Step 6: Final answer
    x = 35,514.27

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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.