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Finding the Fourth Proportional to 138,302, 190,845.42 and 77,853.32

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Solution

The fourth proportional to 138,302, 190,845.42 and 77,853.32 is: 107,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,302 : 190,845.42 = 77,853.32 : x
  2. Step 2: Convert to fraction form
    138,302/190,845.42 = 77,853.32/x
  3. Step 3: Cross multiply
    138,302x = 190,845.42 × 77,853.32
  4. Step 4: Simplify right side
    138,302x = 14,857,949,553.79
  5. Step 5: Solve for x
    x = 14,857,949,553.79/138,302
  6. Step 6: Final answer
    x = 107,431.20

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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.