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Finding the Fourth Proportional to 147,906.30, 221,859.45 and 54,399.90

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Solution

The fourth proportional to 147,906.30, 221,859.45 and 54,399.90 is: 81,599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,906.30 : 221,859.45 = 54,399.90 : x
  2. Step 2: Convert to fraction form
    147,906.30/221,859.45 = 54,399.90/x
  3. Step 3: Cross multiply
    147,906.30x = 221,859.45 × 54,399.90
  4. Step 4: Simplify right side
    147,906.30x = 12,069,131,894.06
  5. Step 5: Solve for x
    x = 12,069,131,894.06/147,906.30
  6. Step 6: Final answer
    x = 81,599.85

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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.