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Finding the Fourth Proportional to 89,718.36, 134,572.68 and 27,384

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Solution

The fourth proportional to 89,718.36, 134,572.68 and 27,384 is: 41,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,718.36 : 134,572.68 = 27,384 : x
  2. Step 2: Convert to fraction form
    89,718.36/134,572.68 = 27,384/x
  3. Step 3: Cross multiply
    89,718.36x = 134,572.68 × 27,384
  4. Step 4: Simplify right side
    89,718.36x = 3,685,138,269.12
  5. Step 5: Solve for x
    x = 3,685,138,269.12/89,718.36
  6. Step 6: Final answer
    x = 41,074.52

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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.