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Finding the Fourth Proportional to 131,086.98, 180,915.42 and 74,506.86

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Solution

The fourth proportional to 131,086.98, 180,915.42 and 74,506.86 is: 102,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,086.98 : 180,915.42 = 74,506.86 : x
  2. Step 2: Convert to fraction form
    131,086.98/180,915.42 = 74,506.86/x
  3. Step 3: Cross multiply
    131,086.98x = 180,915.42 × 74,506.86
  4. Step 4: Simplify right side
    131,086.98x = 13,479,439,869.78
  5. Step 5: Solve for x
    x = 13,479,439,869.78/131,086.98
  6. Step 6: Final answer
    x = 102,828.21

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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.