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Finding the Fourth Proportional to 138,684, 191,382.78 and 75,021.96

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Solution

The fourth proportional to 138,684, 191,382.78 and 75,021.96 is: 103,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,684 : 191,382.78 = 75,021.96 : x
  2. Step 2: Convert to fraction form
    138,684/191,382.78 = 75,021.96/x
  3. Step 3: Cross multiply
    138,684x = 191,382.78 × 75,021.96
  4. Step 4: Simplify right side
    138,684x = 14,357,911,265.85
  5. Step 5: Solve for x
    x = 14,357,911,265.85/138,684
  6. Step 6: Final answer
    x = 103,529.69

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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.