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Finding the Fourth Proportional to 86,644.54, 129,971.43 and 27,484.78

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Solution

The fourth proportional to 86,644.54, 129,971.43 and 27,484.78 is: 41,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,644.54 : 129,971.43 = 27,484.78 : x
  2. Step 2: Convert to fraction form
    86,644.54/129,971.43 = 27,484.78/x
  3. Step 3: Cross multiply
    86,644.54x = 129,971.43 × 27,484.78
  4. Step 4: Simplify right side
    86,644.54x = 3,572,236,159.84
  5. Step 5: Solve for x
    x = 3,572,236,159.84/86,644.54
  6. Step 6: Final answer
    x = 41,228.64

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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.