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Finding the Fourth Proportional to 129,702, 194,553 and 31,206

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Solution

The fourth proportional to 129,702, 194,553 and 31,206 is: 46,809

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,702 : 194,553 = 31,206 : x
  2. Step 2: Convert to fraction form
    129,702/194,553 = 31,206/x
  3. Step 3: Cross multiply
    129,702x = 194,553 × 31,206
  4. Step 4: Simplify right side
    129,702x = 6,071,220,918
  5. Step 5: Solve for x
    x = 6,071,220,918/129,702
  6. Step 6: Final answer
    x = 46,809

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.