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Finding the Fourth Proportional to 77,331.75, 106,716 and 45,502.71

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Solution

The fourth proportional to 77,331.75, 106,716 and 45,502.71 is: 62,792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,331.75 : 106,716 = 45,502.71 : x
  2. Step 2: Convert to fraction form
    77,331.75/106,716 = 45,502.71/x
  3. Step 3: Cross multiply
    77,331.75x = 106,716 × 45,502.71
  4. Step 4: Simplify right side
    77,331.75x = 4,855,867,200.36
  5. Step 5: Solve for x
    x = 4,855,867,200.36/77,331.75
  6. Step 6: Final answer
    x = 62,792.67

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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.