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Finding the Fourth Proportional to 89,628, 134,442 and 27,298.50

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Solution

The fourth proportional to 89,628, 134,442 and 27,298.50 is: 40,947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,628 : 134,442 = 27,298.50 : x
  2. Step 2: Convert to fraction form
    89,628/134,442 = 27,298.50/x
  3. Step 3: Cross multiply
    89,628x = 134,442 × 27,298.50
  4. Step 4: Simplify right side
    89,628x = 3,670,064,937
  5. Step 5: Solve for x
    x = 3,670,064,937/89,628
  6. Step 6: Final answer
    x = 40,947.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.