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Finding the Fourth Proportional to 89,672, 123,756 and 49,928

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Solution

The fourth proportional to 89,672, 123,756 and 49,928 is: 68,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,672 : 123,756 = 49,928 : x
  2. Step 2: Convert to fraction form
    89,672/123,756 = 49,928/x
  3. Step 3: Cross multiply
    89,672x = 123,756 × 49,928
  4. Step 4: Simplify right side
    89,672x = 6,178,889,568
  5. Step 5: Solve for x
    x = 6,178,889,568/89,672
  6. Step 6: Final answer
    x = 68,905.45

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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.