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Finding the Fourth Proportional to 102,884.90, 154,342.14 and 31,813.08

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Solution

The fourth proportional to 102,884.90, 154,342.14 and 31,813.08 is: 47,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,884.90 : 154,342.14 = 31,813.08 : x
  2. Step 2: Convert to fraction form
    102,884.90/154,342.14 = 31,813.08/x
  3. Step 3: Cross multiply
    102,884.90x = 154,342.14 × 31,813.08
  4. Step 4: Simplify right side
    102,884.90x = 4,910,098,847.19
  5. Step 5: Solve for x
    x = 4,910,098,847.19/102,884.90
  6. Step 6: Final answer
    x = 47,724.19

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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.