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Finding the Fourth Proportional to 102,687.83, 141,704.12 and 57,356.78

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Solution

The fourth proportional to 102,687.83, 141,704.12 and 57,356.78 is: 79,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,687.83 : 141,704.12 = 57,356.78 : x
  2. Step 2: Convert to fraction form
    102,687.83/141,704.12 = 57,356.78/x
  3. Step 3: Cross multiply
    102,687.83x = 141,704.12 × 57,356.78
  4. Step 4: Simplify right side
    102,687.83x = 8,127,691,040.63
  5. Step 5: Solve for x
    x = 8,127,691,040.63/102,687.83
  6. Step 6: Final answer
    x = 79,149.51

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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.