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Finding the Fourth Proportional to 102,884.80, 154,327.20 and 91,731.10

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Solution

The fourth proportional to 102,884.80, 154,327.20 and 91,731.10 is: 137,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,884.80 : 154,327.20 = 91,731.10 : x
  2. Step 2: Convert to fraction form
    102,884.80/154,327.20 = 91,731.10/x
  3. Step 3: Cross multiply
    102,884.80x = 154,327.20 × 91,731.10
  4. Step 4: Simplify right side
    102,884.80x = 14,156,603,815.92
  5. Step 5: Solve for x
    x = 14,156,603,815.92/102,884.80
  6. Step 6: Final answer
    x = 137,596.65

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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.