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Finding the Fourth Proportional to 138,859.93, 191,627.31 and 78,431.29

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Solution

The fourth proportional to 138,859.93, 191,627.31 and 78,431.29 is: 108,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,859.93 : 191,627.31 = 78,431.29 : x
  2. Step 2: Convert to fraction form
    138,859.93/191,627.31 = 78,431.29/x
  3. Step 3: Cross multiply
    138,859.93x = 191,627.31 × 78,431.29
  4. Step 4: Simplify right side
    138,859.93x = 15,029,577,122.53
  5. Step 5: Solve for x
    x = 15,029,577,122.53/138,859.93
  6. Step 6: Final answer
    x = 108,235.52

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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.