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Finding the Fourth Proportional to 139,419.92, 209,129.44 and 39,580.20

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Solution

The fourth proportional to 139,419.92, 209,129.44 and 39,580.20 is: 59,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,419.92 : 209,129.44 = 39,580.20 : x
  2. Step 2: Convert to fraction form
    139,419.92/209,129.44 = 39,580.20/x
  3. Step 3: Cross multiply
    139,419.92x = 209,129.44 × 39,580.20
  4. Step 4: Simplify right side
    139,419.92x = 8,277,385,061.09
  5. Step 5: Solve for x
    x = 8,277,385,061.09/139,419.92
  6. Step 6: Final answer
    x = 59,370.18

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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.