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Finding the Fourth Proportional to 131,889.79, 182,016.84 and 74,509.21

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Solution

The fourth proportional to 131,889.79, 182,016.84 and 74,509.21 is: 102,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,889.79 : 182,016.84 = 74,509.21 : x
  2. Step 2: Convert to fraction form
    131,889.79/182,016.84 = 74,509.21/x
  3. Step 3: Cross multiply
    131,889.79x = 182,016.84 × 74,509.21
  4. Step 4: Simplify right side
    131,889.79x = 13,561,930,955.10
  5. Step 5: Solve for x
    x = 13,561,930,955.10/131,889.79
  6. Step 6: Final answer
    x = 102,827.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.