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Finding the Fourth Proportional to 148,389.06, 204,776.19 and 81,321.06

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Solution

The fourth proportional to 148,389.06, 204,776.19 and 81,321.06 is: 112,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,389.06 : 204,776.19 = 81,321.06 : x
  2. Step 2: Convert to fraction form
    148,389.06/204,776.19 = 81,321.06/x
  3. Step 3: Cross multiply
    148,389.06x = 204,776.19 × 81,321.06
  4. Step 4: Simplify right side
    148,389.06x = 16,652,616,833.56
  5. Step 5: Solve for x
    x = 16,652,616,833.56/148,389.06
  6. Step 6: Final answer
    x = 112,222.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.