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Finding the Fourth Proportional to 102,538, 141,502.44 and 57,826

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Solution

The fourth proportional to 102,538, 141,502.44 and 57,826 is: 79,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,538 : 141,502.44 = 57,826 : x
  2. Step 2: Convert to fraction form
    102,538/141,502.44 = 57,826/x
  3. Step 3: Cross multiply
    102,538x = 141,502.44 × 57,826
  4. Step 4: Simplify right side
    102,538x = 8,182,520,095.44
  5. Step 5: Solve for x
    x = 8,182,520,095.44/102,538
  6. Step 6: Final answer
    x = 79,799.88

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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.