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Finding the Fourth Proportional to 86,649.54, 129,978.94 and 27,489.78

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Solution

The fourth proportional to 86,649.54, 129,978.94 and 27,489.78 is: 41,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,649.54 : 129,978.94 = 27,489.78 : x
  2. Step 2: Convert to fraction form
    86,649.54/129,978.94 = 27,489.78/x
  3. Step 3: Cross multiply
    86,649.54x = 129,978.94 × 27,489.78
  4. Step 4: Simplify right side
    86,649.54x = 3,573,092,465.23
  5. Step 5: Solve for x
    x = 3,573,092,465.23/86,649.54
  6. Step 6: Final answer
    x = 41,236.14

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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.