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Finding the Fourth Proportional to 192,809.40, 288,695.70 and 139,932.60

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Solution

The fourth proportional to 192,809.40, 288,695.70 and 139,932.60 is: 209,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,809.40 : 288,695.70 = 139,932.60 : x
  2. Step 2: Convert to fraction form
    192,809.40/288,695.70 = 139,932.60/x
  3. Step 3: Cross multiply
    192,809.40x = 288,695.70 × 139,932.60
  4. Step 4: Simplify right side
    192,809.40x = 40,397,939,909.82
  5. Step 5: Solve for x
    x = 40,397,939,909.82/192,809.40
  6. Step 6: Final answer
    x = 209,522.67

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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.