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Finding the Fourth Proportional to 82,857.94, 114,343.95 and 45,132.19

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Solution

The fourth proportional to 82,857.94, 114,343.95 and 45,132.19 is: 62,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,857.94 : 114,343.95 = 45,132.19 : x
  2. Step 2: Convert to fraction form
    82,857.94/114,343.95 = 45,132.19/x
  3. Step 3: Cross multiply
    82,857.94x = 114,343.95 × 45,132.19
  4. Step 4: Simplify right side
    82,857.94x = 5,160,592,760.14
  5. Step 5: Solve for x
    x = 5,160,592,760.14/82,857.94
  6. Step 6: Final answer
    x = 62,282.42

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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.