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Finding the Fourth Proportional to 79,805.16, 119,709.95 and 19,831.21

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Solution

The fourth proportional to 79,805.16, 119,709.95 and 19,831.21 is: 29,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,805.16 : 119,709.95 = 19,831.21 : x
  2. Step 2: Convert to fraction form
    79,805.16/119,709.95 = 19,831.21/x
  3. Step 3: Cross multiply
    79,805.16x = 119,709.95 × 19,831.21
  4. Step 4: Simplify right side
    79,805.16x = 2,373,993,207.34
  5. Step 5: Solve for x
    x = 2,373,993,207.34/79,805.16
  6. Step 6: Final answer
    x = 29,747.37

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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.