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Finding the Fourth Proportional to 100,595.28, 138,838.41 and 58,178.28

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Solution

The fourth proportional to 100,595.28, 138,838.41 and 58,178.28 is: 80,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,595.28 : 138,838.41 = 58,178.28 : x
  2. Step 2: Convert to fraction form
    100,595.28/138,838.41 = 58,178.28/x
  3. Step 3: Cross multiply
    100,595.28x = 138,838.41 × 58,178.28
  4. Step 4: Simplify right side
    100,595.28x = 8,077,379,891.73
  5. Step 5: Solve for x
    x = 8,077,379,891.73/100,595.28
  6. Step 6: Final answer
    x = 80,295.81

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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.