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Finding the Fourth Proportional to 71,205.19, 106,831.17 and 29,120.67

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Solution

The fourth proportional to 71,205.19, 106,831.17 and 29,120.67 is: 43,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,205.19 : 106,831.17 = 29,120.67 : x
  2. Step 2: Convert to fraction form
    71,205.19/106,831.17 = 29,120.67/x
  3. Step 3: Cross multiply
    71,205.19x = 106,831.17 × 29,120.67
  4. Step 4: Simplify right side
    71,205.19x = 3,110,994,567.52
  5. Step 5: Solve for x
    x = 3,110,994,567.52/71,205.19
  6. Step 6: Final answer
    x = 43,690.56

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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.