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Finding the Fourth Proportional to 102,745.53, 154,118.57 and 31,665.87

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Solution

The fourth proportional to 102,745.53, 154,118.57 and 31,665.87 is: 47,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,745.53 : 154,118.57 = 31,665.87 : x
  2. Step 2: Convert to fraction form
    102,745.53/154,118.57 = 31,665.87/x
  3. Step 3: Cross multiply
    102,745.53x = 154,118.57 × 31,665.87
  4. Step 4: Simplify right side
    102,745.53x = 4,880,298,443.88
  5. Step 5: Solve for x
    x = 4,880,298,443.88/102,745.53
  6. Step 6: Final answer
    x = 47,498.89

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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.