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Finding the Fourth Proportional to 82,920.83, 114,447.08 and 57,755.75

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Solution

The fourth proportional to 82,920.83, 114,447.08 and 57,755.75 is: 79,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,920.83 : 114,447.08 = 57,755.75 : x
  2. Step 2: Convert to fraction form
    82,920.83/114,447.08 = 57,755.75/x
  3. Step 3: Cross multiply
    82,920.83x = 114,447.08 × 57,755.75
  4. Step 4: Simplify right side
    82,920.83x = 6,609,976,940.71
  5. Step 5: Solve for x
    x = 6,609,976,940.71/82,920.83
  6. Step 6: Final answer
    x = 79,714.31

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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.