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Finding the Fourth Proportional to 89,642.92, 123,706.32 and 49,355.92

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Solution

The fourth proportional to 89,642.92, 123,706.32 and 49,355.92 is: 68,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,642.92 : 123,706.32 = 49,355.92 : x
  2. Step 2: Convert to fraction form
    89,642.92/123,706.32 = 49,355.92/x
  3. Step 3: Cross multiply
    89,642.92x = 123,706.32 × 49,355.92
  4. Step 4: Simplify right side
    89,642.92x = 6,105,639,233.41
  5. Step 5: Solve for x
    x = 6,105,639,233.41/89,642.92
  6. Step 6: Final answer
    x = 68,110.67

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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.