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Finding the Fourth Proportional to 139,609.59, 209,424.24 and 39,777.90

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Solution

The fourth proportional to 139,609.59, 209,424.24 and 39,777.90 is: 59,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,609.59 : 209,424.24 = 39,777.90 : x
  2. Step 2: Convert to fraction form
    139,609.59/209,424.24 = 39,777.90/x
  3. Step 3: Cross multiply
    139,609.59x = 209,424.24 × 39,777.90
  4. Step 4: Simplify right side
    139,609.59x = 8,330,456,476.30
  5. Step 5: Solve for x
    x = 8,330,456,476.30/139,609.59
  6. Step 6: Final answer
    x = 59,669.66

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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.