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Finding the Fourth Proportional to 140,917.17, 194,468.21 and 76,388.52

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Solution

The fourth proportional to 140,917.17, 194,468.21 and 76,388.52 is: 105,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,917.17 : 194,468.21 = 76,388.52 : x
  2. Step 2: Convert to fraction form
    140,917.17/194,468.21 = 76,388.52/x
  3. Step 3: Cross multiply
    140,917.17x = 194,468.21 × 76,388.52
  4. Step 4: Simplify right side
    140,917.17x = 14,855,138,367.01
  5. Step 5: Solve for x
    x = 14,855,138,367.01/140,917.17
  6. Step 6: Final answer
    x = 105,417.52

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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.