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Finding the Fourth Proportional to 82,863.62, 114,352 and 45,137.06

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Solution

The fourth proportional to 82,863.62, 114,352 and 45,137.06 is: 62,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,863.62 : 114,352 = 45,137.06 : x
  2. Step 2: Convert to fraction form
    82,863.62/114,352 = 45,137.06/x
  3. Step 3: Cross multiply
    82,863.62x = 114,352 × 45,137.06
  4. Step 4: Simplify right side
    82,863.62x = 5,161,513,085.12
  5. Step 5: Solve for x
    x = 5,161,513,085.12/82,863.62
  6. Step 6: Final answer
    x = 62,289.25

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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.