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Finding the Fourth Proportional to 129,710.88, 194,566.32 and 74,268

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Solution

The fourth proportional to 129,710.88, 194,566.32 and 74,268 is: 111,402

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,710.88 : 194,566.32 = 74,268 : x
  2. Step 2: Convert to fraction form
    129,710.88/194,566.32 = 74,268/x
  3. Step 3: Cross multiply
    129,710.88x = 194,566.32 × 74,268
  4. Step 4: Simplify right side
    129,710.88x = 14,450,051,453.76
  5. Step 5: Solve for x
    x = 14,450,051,453.76/129,710.88
  6. Step 6: Final answer
    x = 111,402

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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.