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Finding the Fourth Proportional to 86,495.92, 129,743.10 and 27,331.59

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Solution

The fourth proportional to 86,495.92, 129,743.10 and 27,331.59 is: 40,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,495.92 : 129,743.10 = 27,331.59 : x
  2. Step 2: Convert to fraction form
    86,495.92/129,743.10 = 27,331.59/x
  3. Step 3: Cross multiply
    86,495.92x = 129,743.10 × 27,331.59
  4. Step 4: Simplify right side
    86,495.92x = 3,546,085,701.07
  5. Step 5: Solve for x
    x = 3,546,085,701.07/86,495.92
  6. Step 6: Final answer
    x = 40,997.15

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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.