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Finding the Fourth Proportional to 139,381.20, 209,071.80 and 97,390.80

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Solution

The fourth proportional to 139,381.20, 209,071.80 and 97,390.80 is: 146,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,381.20 : 209,071.80 = 97,390.80 : x
  2. Step 2: Convert to fraction form
    139,381.20/209,071.80 = 97,390.80/x
  3. Step 3: Cross multiply
    139,381.20x = 209,071.80 × 97,390.80
  4. Step 4: Simplify right side
    139,381.20x = 20,361,669,859.44
  5. Step 5: Solve for x
    x = 20,361,669,859.44/139,381.20
  6. Step 6: Final answer
    x = 146,086.20

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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.