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Finding the Fourth Proportional to 139,408.32, 209,120.40 and 39,560.61

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Solution

The fourth proportional to 139,408.32, 209,120.40 and 39,560.61 is: 59,343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,408.32 : 209,120.40 = 39,560.61 : x
  2. Step 2: Convert to fraction form
    139,408.32/209,120.40 = 39,560.61/x
  3. Step 3: Cross multiply
    139,408.32x = 209,120.40 × 39,560.61
  4. Step 4: Simplify right side
    139,408.32x = 8,272,930,587.44
  5. Step 5: Solve for x
    x = 8,272,930,587.44/139,408.32
  6. Step 6: Final answer
    x = 59,343.16

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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.