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Finding the Fourth Proportional to 102,906.80, 154,381.80 and 31,823.60

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Solution

The fourth proportional to 102,906.80, 154,381.80 and 31,823.60 is: 47,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906.80 : 154,381.80 = 31,823.60 : x
  2. Step 2: Convert to fraction form
    102,906.80/154,381.80 = 31,823.60/x
  3. Step 3: Cross multiply
    102,906.80x = 154,381.80 × 31,823.60
  4. Step 4: Simplify right side
    102,906.80x = 4,912,984,650.48
  5. Step 5: Solve for x
    x = 4,912,984,650.48/102,906.80
  6. Step 6: Final answer
    x = 47,742.08

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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.