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Finding the Fourth Proportional to 83,287.62, 114,936.55 and 45,047.21

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Solution

The fourth proportional to 83,287.62, 114,936.55 and 45,047.21 is: 62,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,287.62 : 114,936.55 = 45,047.21 : x
  2. Step 2: Convert to fraction form
    83,287.62/114,936.55 = 45,047.21/x
  3. Step 3: Cross multiply
    83,287.62x = 114,936.55 × 45,047.21
  4. Step 4: Simplify right side
    83,287.62x = 5,177,570,904.53
  5. Step 5: Solve for x
    x = 5,177,570,904.53/83,287.62
  6. Step 6: Final answer
    x = 62,164.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.