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Finding the Fourth Proportional to 138,758, 191,485.68 and 75,095.78

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Solution

The fourth proportional to 138,758, 191,485.68 and 75,095.78 is: 103,631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,758 : 191,485.68 = 75,095.78 : x
  2. Step 2: Convert to fraction form
    138,758/191,485.68 = 75,095.78/x
  3. Step 3: Cross multiply
    138,758x = 191,485.68 × 75,095.78
  4. Step 4: Simplify right side
    138,758x = 14,379,766,498.43
  5. Step 5: Solve for x
    x = 14,379,766,498.43/138,758
  6. Step 6: Final answer
    x = 103,631.98

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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.