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Finding the Fourth Proportional to 139,793.19, 209,638.76 and 51,020.43

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Solution

The fourth proportional to 139,793.19, 209,638.76 and 51,020.43 is: 76,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,793.19 : 209,638.76 = 51,020.43 : x
  2. Step 2: Convert to fraction form
    139,793.19/209,638.76 = 51,020.43/x
  3. Step 3: Cross multiply
    139,793.19x = 209,638.76 × 51,020.43
  4. Step 4: Simplify right side
    139,793.19x = 10,695,859,424.76
  5. Step 5: Solve for x
    x = 10,695,859,424.76/139,793.19
  6. Step 6: Final answer
    x = 76,512.02

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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.