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Finding the Fourth Proportional to 129,693, 194,539.56 and 31,197

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Solution

The fourth proportional to 129,693, 194,539.56 and 31,197 is: 46,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,693 : 194,539.56 = 31,197 : x
  2. Step 2: Convert to fraction form
    129,693/194,539.56 = 31,197/x
  3. Step 3: Cross multiply
    129,693x = 194,539.56 × 31,197
  4. Step 4: Simplify right side
    129,693x = 6,069,050,653.32
  5. Step 5: Solve for x
    x = 6,069,050,653.32/129,693
  6. Step 6: Final answer
    x = 46,795.51

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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.