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Finding the Fourth Proportional to 102,091, 140,885.58 and 57,379

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Solution

The fourth proportional to 102,091, 140,885.58 and 57,379 is: 79,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,091 : 140,885.58 = 57,379 : x
  2. Step 2: Convert to fraction form
    102,091/140,885.58 = 57,379/x
  3. Step 3: Cross multiply
    102,091x = 140,885.58 × 57,379
  4. Step 4: Simplify right side
    102,091x = 8,083,873,694.82
  5. Step 5: Solve for x
    x = 8,083,873,694.82/102,091
  6. Step 6: Final answer
    x = 79,183.02

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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.