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Finding the Fourth Proportional to 102,821.97, 141,888.42 and 56,878.86

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Solution

The fourth proportional to 102,821.97, 141,888.42 and 56,878.86 is: 78,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,821.97 : 141,888.42 = 56,878.86 : x
  2. Step 2: Convert to fraction form
    102,821.97/141,888.42 = 56,878.86/x
  3. Step 3: Cross multiply
    102,821.97x = 141,888.42 × 56,878.86
  4. Step 4: Simplify right side
    102,821.97x = 8,070,451,576.80
  5. Step 5: Solve for x
    x = 8,070,451,576.80/102,821.97
  6. Step 6: Final answer
    x = 78,489.56

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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.