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Finding the Fourth Proportional to 57,422.79, 86,096.79 and 19,980

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Solution

The fourth proportional to 57,422.79, 86,096.79 and 19,980 is: 29,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,422.79 : 86,096.79 = 19,980 : x
  2. Step 2: Convert to fraction form
    57,422.79/86,096.79 = 19,980/x
  3. Step 3: Cross multiply
    57,422.79x = 86,096.79 × 19,980
  4. Step 4: Simplify right side
    57,422.79x = 1,720,213,864.20
  5. Step 5: Solve for x
    x = 1,720,213,864.20/57,422.79
  6. Step 6: Final answer
    x = 29,956.99

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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.