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Finding the Fourth Proportional to 138,287.22, 190,828.20 and 77,855.43

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Solution

The fourth proportional to 138,287.22, 190,828.20 and 77,855.43 is: 107,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,287.22 : 190,828.20 = 77,855.43 : x
  2. Step 2: Convert to fraction form
    138,287.22/190,828.20 = 77,855.43/x
  3. Step 3: Cross multiply
    138,287.22x = 190,828.20 × 77,855.43
  4. Step 4: Simplify right side
    138,287.22x = 14,857,011,567.13
  5. Step 5: Solve for x
    x = 14,857,011,567.13/138,287.22
  6. Step 6: Final answer
    x = 107,435.90

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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.