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Finding the Fourth Proportional to 77,049.50, 106,328.31 and 41,721.50

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Solution

The fourth proportional to 77,049.50, 106,328.31 and 41,721.50 is: 57,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,049.50 : 106,328.31 = 41,721.50 : x
  2. Step 2: Convert to fraction form
    77,049.50/106,328.31 = 41,721.50/x
  3. Step 3: Cross multiply
    77,049.50x = 106,328.31 × 41,721.50
  4. Step 4: Simplify right side
    77,049.50x = 4,436,176,585.67
  5. Step 5: Solve for x
    x = 4,436,176,585.67/77,049.50
  6. Step 6: Final answer
    x = 57,575.67

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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.