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Finding the Fourth Proportional to 129,878.98, 194,824.04 and 51,010.29

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Solution

The fourth proportional to 129,878.98, 194,824.04 and 51,010.29 is: 76,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,878.98 : 194,824.04 = 51,010.29 : x
  2. Step 2: Convert to fraction form
    129,878.98/194,824.04 = 51,010.29/x
  3. Step 3: Cross multiply
    129,878.98x = 194,824.04 × 51,010.29
  4. Step 4: Simplify right side
    129,878.98x = 9,938,030,779.37
  5. Step 5: Solve for x
    x = 9,938,030,779.37/129,878.98
  6. Step 6: Final answer
    x = 76,517.62

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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.