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Finding the Fourth Proportional to 57,423.79, 86,098.29 and 19,981

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Solution

The fourth proportional to 57,423.79, 86,098.29 and 19,981 is: 29,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,423.79 : 86,098.29 = 19,981 : x
  2. Step 2: Convert to fraction form
    57,423.79/86,098.29 = 19,981/x
  3. Step 3: Cross multiply
    57,423.79x = 86,098.29 × 19,981
  4. Step 4: Simplify right side
    57,423.79x = 1,720,329,932.49
  5. Step 5: Solve for x
    x = 1,720,329,932.49/57,423.79
  6. Step 6: Final answer
    x = 29,958.49

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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.