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Finding the Fourth Proportional to 138,634, 191,317.68 and 78,192.79

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Solution

The fourth proportional to 138,634, 191,317.68 and 78,192.79 is: 107,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,634 : 191,317.68 = 78,192.79 : x
  2. Step 2: Convert to fraction form
    138,634/191,317.68 = 78,192.79/x
  3. Step 3: Cross multiply
    138,634x = 191,317.68 × 78,192.79
  4. Step 4: Simplify right side
    138,634x = 14,959,663,175.53
  5. Step 5: Solve for x
    x = 14,959,663,175.53/138,634
  6. Step 6: Final answer
    x = 107,907.61

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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.