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Finding the Fourth Proportional to 139,642.32, 209,431.92 and 39,800.36

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Solution

The fourth proportional to 139,642.32, 209,431.92 and 39,800.36 is: 59,691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,642.32 : 209,431.92 = 39,800.36 : x
  2. Step 2: Convert to fraction form
    139,642.32/209,431.92 = 39,800.36/x
  3. Step 3: Cross multiply
    139,642.32x = 209,431.92 × 39,800.36
  4. Step 4: Simplify right side
    139,642.32x = 8,335,465,811.49
  5. Step 5: Solve for x
    x = 8,335,465,811.49/139,642.32
  6. Step 6: Final answer
    x = 59,691.54

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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.