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Finding the Fourth Proportional to 103,282.56, 154,911.54 and 28,410.30

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Solution

The fourth proportional to 103,282.56, 154,911.54 and 28,410.30 is: 42,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,282.56 : 154,911.54 = 28,410.30 : x
  2. Step 2: Convert to fraction form
    103,282.56/154,911.54 = 28,410.30/x
  3. Step 3: Cross multiply
    103,282.56x = 154,911.54 × 28,410.30
  4. Step 4: Simplify right side
    103,282.56x = 4,401,083,324.86
  5. Step 5: Solve for x
    x = 4,401,083,324.86/103,282.56
  6. Step 6: Final answer
    x = 42,612.07

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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.