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Finding the Fourth Proportional to 138,161, 190,662.18 and 78,545

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Solution

The fourth proportional to 138,161, 190,662.18 and 78,545 is: 108,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,161 : 190,662.18 = 78,545 : x
  2. Step 2: Convert to fraction form
    138,161/190,662.18 = 78,545/x
  3. Step 3: Cross multiply
    138,161x = 190,662.18 × 78,545
  4. Step 4: Simplify right side
    138,161x = 14,975,560,928.10
  5. Step 5: Solve for x
    x = 14,975,560,928.10/138,161
  6. Step 6: Final answer
    x = 108,392.10

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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.