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Finding the Fourth Proportional to 273,084.12, 409,085.51 and 128,792.34

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Solution

The fourth proportional to 273,084.12, 409,085.51 and 128,792.34 is: 192,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,084.12 : 409,085.51 = 128,792.34 : x
  2. Step 2: Convert to fraction form
    273,084.12/409,085.51 = 128,792.34/x
  3. Step 3: Cross multiply
    273,084.12x = 409,085.51 × 128,792.34
  4. Step 4: Simplify right side
    273,084.12x = 52,687,079,449.03
  5. Step 5: Solve for x
    x = 52,687,079,449.03/273,084.12
  6. Step 6: Final answer
    x = 192,933.52

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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.