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Finding the Fourth Proportional to 138,816, 191,551.38 and 78,382.98

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Solution

The fourth proportional to 138,816, 191,551.38 and 78,382.98 is: 108,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,816 : 191,551.38 = 78,382.98 : x
  2. Step 2: Convert to fraction form
    138,816/191,551.38 = 78,382.98/x
  3. Step 3: Cross multiply
    138,816x = 191,551.38 × 78,382.98
  4. Step 4: Simplify right side
    138,816x = 15,014,367,987.51
  5. Step 5: Solve for x
    x = 15,014,367,987.51/138,816
  6. Step 6: Final answer
    x = 108,160.21

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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.